Existence of weak solutions for a Bingham fluid-rigid body system

We consider the motion of a rigid body in a viscoplastic material. This material is modeled by the 3D Bingham equations, and the Newton laws govern the displacement of the rigid body. Our main result is the existence of a weak solution for the corresponding system. The weak formulation is an inequal...

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Published inAnnales de l'Institut Henri Poincaré. Analyse non linéaire Vol. 36; no. 5; pp. 1281 - 1309
Main Authors Obando, Benjamin, Takahashi, Takéo
Format Journal Article
LanguageEnglish
Published Elsevier Masson SAS 01.08.2019
EMS
Subjects
Analysis of PDEs
Bingham fluid
Fluid-structure interaction systems
Mathematics
Rigid body
Weak solutions
Rigid body
Weak solutions
35Q35
Fluid-structure interaction systems
74F10
76D03
Bingham fluid
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Abstract We consider the motion of a rigid body in a viscoplastic material. This material is modeled by the 3D Bingham equations, and the Newton laws govern the displacement of the rigid body. Our main result is the existence of a weak solution for the corresponding system. The weak formulation is an inequality (due to the plasticity of the fluid), and it involves a free boundary (due to the motion of the rigid body). We approximate it by regularizing the convex terms in the Bingham fluid and by using a penalty method to take into account the presence of the rigid body.
AbstractList We consider the motion of a rigid body in a viscoplastic material. This material is modeled by the 3D Bingham equations, and the Newton laws govern the displacement of the rigid body. Our main result is the existence of a weak solution for the corresponding system. The weak formulation is an inequality (due to the plasticity of the fluid), and it involves a free boundary (due to the motion of the rigid body). We approximate it by regularizing the convex terms in the Bingham fluid and by using a penalty method to take into account the presence of the rigid body.
Author Obando, Benjamin
Takahashi, Takéo
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  givenname: Takéo
  surname: Takahashi
  fullname: Takahashi, Takéo
  email: takeo.takahashi@inria.fr
  organization: Université de Lorraine, CNRS, Inria, IECL, F-54000 Nancy, France
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CitedBy_id crossref_primary_10_1007_s00245_022_09855_2
crossref_primary_10_3390_fluids6040154
crossref_primary_10_1007_s10973_021_10882_4
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Cites_doi 10.1007/s00205-002-0242-5
10.1007/PL00000954
10.1007/978-3-0348-0939-9_8
10.1017/jfm.2015.412
10.1090/S0002-9947-2012-05652-2
10.1007/PL00012524
10.1006/jcph.1999.6365
10.1016/j.jfa.2010.07.006
10.1002/cpa.21523
10.1142/S0218202501001367
10.1016/0021-8928(66)90035-9
10.1007/s00205-015-0876-8
10.1137/090767856
10.1103/PhysRevE.86.026311
10.1137/080716074
10.1007/s00220-014-1884-5
10.1016/j.jnnfm.2006.09.002
10.1016/j.anihpc.2008.02.004
10.1017/S0305004100023239
10.1137/110839539
10.1016/j.nonrwa.2016.09.011
10.1007/s00021-003-0083-4
10.1016/0022-0396(87)90038-6
10.1090/qam/48291
10.1007/s002050100172
10.1007/s00021-006-0219-5
10.1016/S0045-7825(99)00230-3
10.1137/16M1099947
10.1007/s002050050136
10.1051/m2an:2000159
10.1007/978-0-387-09620-9
10.1007/s00028-003-0110-1
10.1016/j.anihpc.2005.12.004
10.1016/0021-8928(65)90063-8
10.1137/S0036142903438161
10.1016/j.jnnfm.2015.02.006
10.1137/16M10889770
10.1016/j.matpur.2005.08.004
10.1080/03605300601088740
10.1016/j.jnnfm.2010.01.001
10.1088/0951-7715/21/6/012
10.1038/nature04801
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Issue 5
Keywords Rigid body
Weak solutions
35Q35
Fluid-structure interaction systems
74F10
76D03
Bingham fluid
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References Jop, Forterre, Pouliquen (br0410) 2006; 441
Ervedoza, Hillairet, Lacave (br0170) 2014; 329
Grandmont, Maday (br0350) 2000; 34
Ortega, Rosier, Takahashi (br0480) 2007; 24
Feireisl (br0180) 2003; 167
Maury (br0430) 1999; 156
Drucker, Prager (br0150) 1952; 10
Chemetov, Nečasová (br0090) 2017; 34
Temam (br0590) 1985
Feireisl, Hillairet, Nečasová (br0200) 2008; 21
Mosolov, Miasnikov (br0460) 1966; 30
Houot, San Martín, Tucsnak (br0390) 2010; 259
Geissert, Götze, Hieber (br0270) 2013; 365
Takahashi (br0560) 2003; 8
Dean, Glowinski, Guidoboni (br0120) 2007; 142
Duvaut, Lions (br0160) 1976; vol. 219
Fujita, Sauer (br0230) 1970; 17
Takahashi, Tucsnak (br0570) 2004; 6
San Martín, Scheid, Takahashi, Tucsnak (br0510) 2005; 43
Meruane, Tamburrino, Roche (br0440) Aug. 2012; 86
Mosolov, Miasnikov (br0450) 1965; 29
Chemetov, Nečasová, Muha (br0100) 2017
Feireisl (br0190) 2003; 3
Saramito (br0530) 2016; vol. 79
Ionescu, Mangeney, Bouchut, Roche (br0400) 2015; 219
Wolf (br0600) 2007; 9
Hillairet (br0370) 2007; 32
Bingham (br0030) 1916; vol. 13
Boulakia (br0050) 2005; 84
Bost, Cottet, Maitre (br0040) 2010; 48
Glass, Sueur (br0310) 2015; 218
Boulakia, Guerrero (br0060) 2009; 26
Conca, San Martín, Tucsnak (br0110) 2000; 25
Feireisl, Nečasová (br0210) 2008
Hillairet, Takahashi (br0380) 2009; 40
Bravin (br0070) 2018
Galdi, Silvestre (br0260) 2002; vol. 1
Goddard (br0330) 2014; 5
Desjardins, Esteban (br0130) 1999; 146
Grandmont, Guimet, Maday (br0340) 2001; 11
de Gennes (br0280) 2008
Putz, Frigaard (br0500) 2010; 165
Schaeffer (br0540) 1987; 66
Gunzburger, Lee, Seregin (br0360) 2000; 2
Galdi (br0250) 2011
San Martín, Starovoitov, Tucsnak (br0520) 2002; 161
Glass, Sueur (br0300) 2012; 44
Galdi (br0240) 1998; vol. 2
Barker, Schaeffer, Bohórquez, Gray (br0020) 2015; 779
Frigaard, Iglesias, Mercier, Pöschl, Scherzer (br0220) 2017; 77
Glowinski, Pan, Hesla, Joseph, Periaux (br0320) 2000; 184
Desjardins, Esteban (br0140) 2000; 25
Gérard-Varet, Hillairet (br0290) 2014; 67
Bulíček, Málek (br0080) 2016
Prager (br0490) 1954
Oldroyd (br0470) 1947; 43
Bălilescu, San Martín, Takahashi (br0010) 2017; 49
Lions (br0420) 1996; vol. 3
Silvestre (br0550) 2002; 4
Temam (br0580) 1979; vol. 2
Grandmont (10.1016/j.anihpc.2018.12.001_br0350) 2000; 34
Grandmont (10.1016/j.anihpc.2018.12.001_br0340) 2001; 11
Ortega (10.1016/j.anihpc.2018.12.001_br0480) 2007; 24
Ionescu (10.1016/j.anihpc.2018.12.001_br0400) 2015; 219
Bost (10.1016/j.anihpc.2018.12.001_br0040) 2010; 48
San Martín (10.1016/j.anihpc.2018.12.001_br0510) 2005; 43
Schaeffer (10.1016/j.anihpc.2018.12.001_br0540) 1987; 66
Galdi (10.1016/j.anihpc.2018.12.001_br0240) 1998; vol. 2
Conca (10.1016/j.anihpc.2018.12.001_br0110) 2000; 25
Ervedoza (10.1016/j.anihpc.2018.12.001_br0170) 2014; 329
Gérard-Varet (10.1016/j.anihpc.2018.12.001_br0290) 2014; 67
San Martín (10.1016/j.anihpc.2018.12.001_br0520) 2002; 161
Galdi (10.1016/j.anihpc.2018.12.001_br0260) 2002; vol. 1
Desjardins (10.1016/j.anihpc.2018.12.001_br0140) 2000; 25
Feireisl (10.1016/j.anihpc.2018.12.001_br0200) 2008; 21
Glowinski (10.1016/j.anihpc.2018.12.001_br0320) 2000; 184
Hillairet (10.1016/j.anihpc.2018.12.001_br0380) 2009; 40
Fujita (10.1016/j.anihpc.2018.12.001_br0230) 1970; 17
de Gennes (10.1016/j.anihpc.2018.12.001_br0280) 2008
Chemetov (10.1016/j.anihpc.2018.12.001_br0090) 2017; 34
Oldroyd (10.1016/j.anihpc.2018.12.001_br0470) 1947; 43
Frigaard (10.1016/j.anihpc.2018.12.001_br0220) 2017; 77
Bulíček (10.1016/j.anihpc.2018.12.001_br0080) 2016
Putz (10.1016/j.anihpc.2018.12.001_br0500) 2010; 165
Galdi (10.1016/j.anihpc.2018.12.001_br0250) 2011
Glass (10.1016/j.anihpc.2018.12.001_br0310) 2015; 218
Lions (10.1016/j.anihpc.2018.12.001_br0420) 1996; vol. 3
Feireisl (10.1016/j.anihpc.2018.12.001_br0180) 2003; 167
Mosolov (10.1016/j.anihpc.2018.12.001_br0450) 1965; 29
Desjardins (10.1016/j.anihpc.2018.12.001_br0130) 1999; 146
Barker (10.1016/j.anihpc.2018.12.001_br0020) 2015; 779
Drucker (10.1016/j.anihpc.2018.12.001_br0150) 1952; 10
Temam (10.1016/j.anihpc.2018.12.001_br0590) 1985
Geissert (10.1016/j.anihpc.2018.12.001_br0270) 2013; 365
Goddard (10.1016/j.anihpc.2018.12.001_br0330) 2014; 5
Meruane (10.1016/j.anihpc.2018.12.001_br0440) 2012; 86
Glass (10.1016/j.anihpc.2018.12.001_br0300) 2012; 44
Prager (10.1016/j.anihpc.2018.12.001_br0490) 1954
Chemetov (10.1016/j.anihpc.2018.12.001_br0100)
Jop (10.1016/j.anihpc.2018.12.001_br0410) 2006; 441
Hillairet (10.1016/j.anihpc.2018.12.001_br0370) 2007; 32
Saramito (10.1016/j.anihpc.2018.12.001_br0530) 2016; vol. 79
Temam (10.1016/j.anihpc.2018.12.001_br0580) 1979; vol. 2
Gunzburger (10.1016/j.anihpc.2018.12.001_br0360) 2000; 2
Bălilescu (10.1016/j.anihpc.2018.12.001_br0010) 2017; 49
Boulakia (10.1016/j.anihpc.2018.12.001_br0050) 2005; 84
Silvestre (10.1016/j.anihpc.2018.12.001_br0550) 2002; 4
Houot (10.1016/j.anihpc.2018.12.001_br0390) 2010; 259
Takahashi (10.1016/j.anihpc.2018.12.001_br0560) 2003; 8
Bravin (10.1016/j.anihpc.2018.12.001_br0070)
Dean (10.1016/j.anihpc.2018.12.001_br0120) 2007; 142
Duvaut (10.1016/j.anihpc.2018.12.001_br0160) 1976; vol. 219
Boulakia (10.1016/j.anihpc.2018.12.001_br0060) 2009; 26
Maury (10.1016/j.anihpc.2018.12.001_br0430) 1999; 156
Bingham (10.1016/j.anihpc.2018.12.001_br0030) 1916; vol. 13
Feireisl (10.1016/j.anihpc.2018.12.001_br0210) 2008
Feireisl (10.1016/j.anihpc.2018.12.001_br0190) 2003; 3
Mosolov (10.1016/j.anihpc.2018.12.001_br0460) 1966; 30
Takahashi (10.1016/j.anihpc.2018.12.001_br0570) 2004; 6
Wolf (10.1016/j.anihpc.2018.12.001_br0600) 2007; 9
References_xml – volume: vol. 3
  year: 1996
  ident: br0420
  article-title: Mathematical Topics in Fluid Mechanics, vol. 1
  publication-title: Oxford Lecture Series in Mathematics and Its Applications
  contributor:
    fullname: Lions
– volume: 48
  start-page: 1313
  year: 2010
  end-page: 1337
  ident: br0040
  article-title: Convergence analysis of a penalization method for the three-dimensional motion of a rigid body in an incompressible viscous fluid
  publication-title: SIAM J. Numer. Anal.
  contributor:
    fullname: Maitre
– volume: 32
  start-page: 1345
  year: 2007
  end-page: 1371
  ident: br0370
  article-title: Lack of collision between solid bodies in a 2D incompressible viscous flow
  publication-title: Commun. Partial Differ. Equ.
  contributor:
    fullname: Hillairet
– volume: 219
  start-page: 1
  year: 2015
  end-page: 18
  ident: br0400
  article-title: Viscoplastic modeling of granular column collapse with pressure-dependent rheology
  publication-title: J. Non-Newton. Fluid Mech.
  contributor:
    fullname: Roche
– volume: 165
  start-page: 263
  year: 2010
  end-page: 280
  ident: br0500
  article-title: Creeping flow around particles in a Bingham fluid
  publication-title: J. Non-Newton. Fluid Mech.
  contributor:
    fullname: Frigaard
– volume: 40
  start-page: 2451
  year: 2009
  end-page: 2477
  ident: br0380
  article-title: Collisions in three-dimensional fluid structure interaction problems
  publication-title: SIAM J. Math. Anal.
  contributor:
    fullname: Takahashi
– volume: 142
  start-page: 36
  year: 2007
  end-page: 62
  ident: br0120
  article-title: On the numerical simulation of Bingham visco-plastic flow: old and new results
  publication-title: J. Non-Newton. Fluid Mech.
  contributor:
    fullname: Guidoboni
– volume: 10
  start-page: 157
  year: 1952
  end-page: 165
  ident: br0150
  article-title: Soil mechanics and plastic analysis or limit design
  publication-title: Q. Appl. Math.
  contributor:
    fullname: Prager
– volume: 218
  start-page: 907
  year: 2015
  end-page: 944
  ident: br0310
  article-title: Uniqueness results for weak solutions of two-dimensional fluid–solid systems
  publication-title: Arch. Ration. Mech. Anal.
  contributor:
    fullname: Sueur
– volume: vol. 1
  start-page: 121
  year: 2002
  end-page: 144
  ident: br0260
  article-title: Strong solutions to the problem of motion of a rigid body in a Navier–Stokes liquid under the action of prescribed forces and torques
  publication-title: Nonlinear Problems in Mathematical Physics and Related Topics, I
  contributor:
    fullname: Silvestre
– volume: 34
  start-page: 416
  year: 2017
  end-page: 445
  ident: br0090
  article-title: The motion of the rigid body in the viscous fluid including collisions. Global solvability result
  publication-title: Nonlinear Anal., Real World Appl.
  contributor:
    fullname: Nečasová
– year: 2017
  ident: br0100
  article-title: Weak–strong uniqueness for fluid-rigid body interaction problem with slip boundary condition
  contributor:
    fullname: Muha
– volume: 66
  start-page: 19
  year: 1987
  end-page: 50
  ident: br0540
  article-title: Instability in the evolution equations describing incompressible granular flow
  publication-title: J. Differ. Equ.
  contributor:
    fullname: Schaeffer
– volume: 25
  start-page: 1019
  year: 2000
  end-page: 1042
  ident: br0110
  article-title: Existence of solutions for the equations modelling the motion of a rigid body in a viscous fluid
  publication-title: Commun. Partial Differ. Equ.
  contributor:
    fullname: Tucsnak
– volume: 17
  start-page: 403
  year: 1970
  end-page: 420
  ident: br0230
  article-title: On existence of weak solutions of the Navier–Stokes equations in regions with moving boundaries
  publication-title: J. Fac. Sci., Univ. Tokyo, Sect. I
  contributor:
    fullname: Sauer
– volume: 779
  start-page: 794
  year: 2015
  end-page: 818
  ident: br0020
  article-title: Well-posed and ill-posed behaviour of the
  publication-title: J. Fluid Mech.
  contributor:
    fullname: Gray
– volume: 49
  start-page: 4625
  year: 2017
  end-page: 4657
  ident: br0010
  article-title: Fluid-rigid structure interaction system with Coulomb's law
  publication-title: SIAM J. Math. Anal.
  contributor:
    fullname: Takahashi
– volume: 84
  start-page: 1515
  year: 2005
  end-page: 1554
  ident: br0050
  article-title: Existence of weak solutions for an interaction problem between an elastic structure and a compressible viscous fluid
  publication-title: J. Math. Pures Appl. (9)
  contributor:
    fullname: Boulakia
– year: 1985
  ident: br0590
  article-title: Mathematical Problems in Plasticity
  publication-title: Modern Applied Mathematics Series
  contributor:
    fullname: Temam
– volume: vol. 219
  year: 1976
  ident: br0160
  article-title: Inequalities in Mechanics and Physics
  publication-title: Grundlehren der Mathematischen Wissenschaften
  contributor:
    fullname: Lions
– volume: 365
  start-page: 1393
  year: 2013
  end-page: 1439
  ident: br0270
  article-title: -theory for strong solutions to fluid-rigid body interaction in Newtonian and generalized Newtonian fluids
  publication-title: Trans. Am. Math. Soc.
  contributor:
    fullname: Hieber
– volume: 2
  start-page: 219
  year: 2000
  end-page: 266
  ident: br0360
  article-title: Global existence of weak solutions for viscous incompressible flows around a moving rigid body in three dimensions
  publication-title: J. Math. Fluid Mech.
  contributor:
    fullname: Seregin
– volume: 156
  start-page: 325
  year: 1999
  end-page: 351
  ident: br0430
  article-title: Direct simulations of 2D fluid-particle flows in biperiodic domains
  publication-title: J. Comput. Phys.
  contributor:
    fullname: Maury
– volume: 30
  start-page: 841
  year: 1966
  end-page: 854
  ident: br0460
  article-title: On stagnant flow regions of a viscous-plastic medium in pipes
  publication-title: J. Appl. Math. Mech.
  contributor:
    fullname: Miasnikov
– volume: 329
  start-page: 325
  year: 2014
  end-page: 382
  ident: br0170
  article-title: Long-time behavior for the two-dimensional motion of a disk in a viscous fluid
  publication-title: Commun. Math. Phys.
  contributor:
    fullname: Lacave
– volume: vol. 2
  year: 1979
  ident: br0580
  article-title: Navier–Stokes Equations
  publication-title: Studies in Mathematics and Its Applications
  contributor:
    fullname: Temam
– volume: 21
  start-page: 1349
  year: 2008
  end-page: 1366
  ident: br0200
  article-title: On the motion of several rigid bodies in an incompressible non-Newtonian fluid
  publication-title: Nonlinearity
  contributor:
    fullname: Nečasová
– volume: 4
  start-page: 285
  year: 2002
  end-page: 326
  ident: br0550
  article-title: On the self-propelled motion of a rigid body in a viscous liquid and on the attainability of steady symmetric self-propelled motions
  publication-title: J. Math. Fluid Mech.
  contributor:
    fullname: Silvestre
– volume: 86
  year: Aug. 2012
  ident: br0440
  article-title: Dynamics of dense granular flows of small-and-large-grain mixtures in an ambient fluid
  publication-title: Phys. Rev. E
  contributor:
    fullname: Roche
– volume: 25
  start-page: 1399
  year: 2000
  end-page: 1413
  ident: br0140
  article-title: On weak solutions for fluid-rigid structure interaction: compressible and incompressible models
  publication-title: Commun. Partial Differ. Equ.
  contributor:
    fullname: Esteban
– volume: 146
  start-page: 59
  year: 1999
  end-page: 71
  ident: br0130
  article-title: Existence of weak solutions for the motion of rigid bodies in a viscous fluid
  publication-title: Arch. Ration. Mech. Anal.
  contributor:
    fullname: Esteban
– volume: 77
  start-page: 638
  year: 2017
  end-page: 663
  ident: br0220
  article-title: Critical yield numbers of rigid particles settling in Bingham fluids and Cheeger sets
  publication-title: SIAM J. Appl. Math.
  contributor:
    fullname: Scherzer
– volume: 26
  start-page: 777
  year: 2009
  end-page: 813
  ident: br0060
  article-title: A regularity result for a solid–fluid system associated to the compressible Navier–Stokes equations
  publication-title: Ann. Inst. Henri Poincaré, Anal. Non Linéaire
  contributor:
    fullname: Guerrero
– volume: 43
  start-page: 100
  year: 1947
  end-page: 105
  ident: br0470
  article-title: A rational formulation of the equations of plastic flow for a Bingham solid
  publication-title: Proc. Camb. Philos. Soc.
  contributor:
    fullname: Oldroyd
– volume: 67
  start-page: 2022
  year: 2014
  end-page: 2075
  ident: br0290
  article-title: Existence of weak solutions up to collision for viscous fluid–solid systems with slip
  publication-title: Commun. Pure Appl. Math.
  contributor:
    fullname: Hillairet
– volume: 3
  start-page: 419
  year: 2003
  end-page: 441
  ident: br0190
  article-title: On the motion of rigid bodies in a viscous incompressible fluid
  publication-title: J. Evol. Equ.
  contributor:
    fullname: Feireisl
– volume: 9
  start-page: 104
  year: 2007
  end-page: 138
  ident: br0600
  article-title: Existence of weak solutions to the equations of non-stationary motion of non-Newtonian fluids with shear rate dependent viscosity
  publication-title: J. Math. Fluid Mech.
  contributor:
    fullname: Wolf
– volume: 11
  start-page: 1349
  year: 2001
  end-page: 1377
  ident: br0340
  article-title: Numerical analysis of some decoupling techniques for the approximation of the unsteady fluid structure interaction
  publication-title: Math. Models Methods Appl. Sci.
  contributor:
    fullname: Maday
– volume: 44
  start-page: 3101
  year: 2012
  end-page: 3126
  ident: br0300
  article-title: On the motion of a rigid body in a two-dimensional irregular ideal flow
  publication-title: SIAM J. Math. Anal.
  contributor:
    fullname: Sueur
– start-page: 135
  year: 2016
  end-page: 156
  ident: br0080
  article-title: On unsteady internal flows of Bingham fluids subject to threshold slip on the impermeable boundary
  publication-title: Recent Developments of Mathematical Fluid Mechanics
  contributor:
    fullname: Málek
– volume: 441
  start-page: 727
  year: 2006
  end-page: 730
  ident: br0410
  article-title: A constitutive law for dense granular flows
  publication-title: Nature
  contributor:
    fullname: Pouliquen
– volume: 34
  start-page: 609
  year: 2000
  end-page: 636
  ident: br0350
  article-title: Existence for an unsteady fluid-structure interaction problem
  publication-title: Modél. Math. Anal. Numér.
  contributor:
    fullname: Maday
– volume: 167
  start-page: 281
  year: 2003
  end-page: 308
  ident: br0180
  article-title: On the motion of rigid bodies in a viscous compressible fluid
  publication-title: Arch. Ration. Mech. Anal.
  contributor:
    fullname: Feireisl
– volume: vol. 13
  start-page: 309
  year: 1916
  end-page: 353
  ident: br0030
  article-title: An Investigation of the Laws of Plastic Flow
  publication-title: Bulletin of the Bureau of Standards
  contributor:
    fullname: Bingham
– year: 2011
  ident: br0250
  article-title: An Introduction to the Mathematical Theory of the Navier–Stokes Equations
  publication-title: Springer Monographs in Mathematics
  contributor:
    fullname: Galdi
– volume: 259
  start-page: 2856
  year: 2010
  end-page: 2885
  ident: br0390
  article-title: Existence of solutions for the equations modeling the motion of rigid bodies in an ideal fluid
  publication-title: J. Funct. Anal.
  contributor:
    fullname: Tucsnak
– volume: vol. 2
  start-page: 1
  year: 1998
  end-page: 35
  ident: br0240
  article-title: Slow motion of a body in a viscous incompressible fluid with application to particle sedimentation
  publication-title: Recent Developments in Partial Differential Equations
  contributor:
    fullname: Galdi
– start-page: 297
  year: 2008
  end-page: 318
  ident: br0280
  article-title: From Rice to Snow
  contributor:
    fullname: de Gennes
– volume: 43
  start-page: 1536
  year: 2005
  end-page: 1571
  ident: br0510
  article-title: Convergence of the Lagrange–Galerkin method for the equations modelling the motion of a fluid-rigid system
  publication-title: SIAM J. Numer. Anal.
  contributor:
    fullname: Tucsnak
– volume: 5
  year: 2014
  ident: br0330
  article-title: Continuum modeling of granular media
  publication-title: Appl. Mech. Rev.
  contributor:
    fullname: Goddard
– volume: 161
  start-page: 113
  year: 2002
  end-page: 147
  ident: br0520
  article-title: Global weak solutions for the two-dimensional motion of several rigid bodies in an incompressible viscous fluid
  publication-title: Arch. Ration. Mech. Anal.
  contributor:
    fullname: Tucsnak
– volume: 8
  start-page: 1499
  year: 2003
  end-page: 1532
  ident: br0560
  article-title: Analysis of strong solutions for the equations modeling the motion of a rigid-fluid system in a bounded domain
  publication-title: Adv. Differ. Equ.
  contributor:
    fullname: Takahashi
– volume: 184
  start-page: 241
  year: 2000
  end-page: 267
  ident: br0320
  article-title: A distributed Lagrange multiplier/fictitious domain method for the simulation of flow around moving rigid bodies: application to particulate flow
  publication-title: Comput. Methods Appl. Mech. Eng.
  contributor:
    fullname: Periaux
– start-page: 208
  year: 1954
  end-page: 216
  ident: br0490
  article-title: On slow visco-plastic flow
  publication-title: Studies in Mathematics and Mechanics Presented to Richard von Mises
  contributor:
    fullname: Prager
– year: 2018
  ident: br0070
  article-title: On the weak uniqueness of “viscous incompressible fluid + rigid body” system with Navier slip-with-friction conditions in a 2D bounded domain
  contributor:
    fullname: Bravin
– volume: 6
  start-page: 53
  year: 2004
  end-page: 77
  ident: br0570
  article-title: Global strong solutions for the two-dimensional motion of an infinite cylinder in a viscous fluid
  publication-title: J. Math. Fluid Mech.
  contributor:
    fullname: Tucsnak
– start-page: 291
  year: 2008
  end-page: 305
  ident: br0210
  article-title: On the motion of several rigid bodies in a viscous multipolar fluid
  publication-title: Functional Analysis and Evolution Equations
  contributor:
    fullname: Nečasová
– volume: vol. 79
  year: 2016
  ident: br0530
  article-title: Complex Fluids
  publication-title: Mathématiques & Applications (Berlin) [Mathematics & Applications]
  contributor:
    fullname: Saramito
– volume: 29
  start-page: 545
  year: 1965
  end-page: 577
  ident: br0450
  article-title: Variational methods in the theory of the fluidity of a viscous-plastic medium
  publication-title: J. Appl. Math. Mech.
  contributor:
    fullname: Miasnikov
– volume: 24
  start-page: 139
  year: 2007
  end-page: 165
  ident: br0480
  article-title: On the motion of a rigid body immersed in a bidimensional incompressible perfect fluid
  publication-title: Ann. Inst. Henri Poincaré, Anal. Non Linéaire
  contributor:
    fullname: Takahashi
– volume: 167
  start-page: 281
  issue: 4
  year: 2003
  ident: 10.1016/j.anihpc.2018.12.001_br0180
  article-title: On the motion of rigid bodies in a viscous compressible fluid
  publication-title: Arch. Ration. Mech. Anal.
  doi: 10.1007/s00205-002-0242-5
  contributor:
    fullname: Feireisl
– volume: 2
  start-page: 219
  issue: 3
  year: 2000
  ident: 10.1016/j.anihpc.2018.12.001_br0360
  article-title: Global existence of weak solutions for viscous incompressible flows around a moving rigid body in three dimensions
  publication-title: J. Math. Fluid Mech.
  doi: 10.1007/PL00000954
  contributor:
    fullname: Gunzburger
– ident: 10.1016/j.anihpc.2018.12.001_br0070
  contributor:
    fullname: Bravin
– start-page: 135
  year: 2016
  ident: 10.1016/j.anihpc.2018.12.001_br0080
  article-title: On unsteady internal flows of Bingham fluids subject to threshold slip on the impermeable boundary
  doi: 10.1007/978-3-0348-0939-9_8
  contributor:
    fullname: Bulíček
– volume: vol. 79
  year: 2016
  ident: 10.1016/j.anihpc.2018.12.001_br0530
  article-title: Complex Fluids
  contributor:
    fullname: Saramito
– volume: 779
  start-page: 794
  year: 2015
  ident: 10.1016/j.anihpc.2018.12.001_br0020
  article-title: Well-posed and ill-posed behaviour of the μ(i)-rheology for granular flow
  publication-title: J. Fluid Mech.
  doi: 10.1017/jfm.2015.412
  contributor:
    fullname: Barker
– volume: 365
  start-page: 1393
  issue: 3
  year: 2013
  ident: 10.1016/j.anihpc.2018.12.001_br0270
  article-title: Lp-theory for strong solutions to fluid-rigid body interaction in Newtonian and generalized Newtonian fluids
  publication-title: Trans. Am. Math. Soc.
  doi: 10.1090/S0002-9947-2012-05652-2
  contributor:
    fullname: Geissert
– volume: 4
  start-page: 285
  issue: 4
  year: 2002
  ident: 10.1016/j.anihpc.2018.12.001_br0550
  article-title: On the self-propelled motion of a rigid body in a viscous liquid and on the attainability of steady symmetric self-propelled motions
  publication-title: J. Math. Fluid Mech.
  doi: 10.1007/PL00012524
  contributor:
    fullname: Silvestre
– volume: 156
  start-page: 325
  issue: 2
  year: 1999
  ident: 10.1016/j.anihpc.2018.12.001_br0430
  article-title: Direct simulations of 2D fluid-particle flows in biperiodic domains
  publication-title: J. Comput. Phys.
  doi: 10.1006/jcph.1999.6365
  contributor:
    fullname: Maury
– volume: vol. 13
  start-page: 309
  year: 1916
  ident: 10.1016/j.anihpc.2018.12.001_br0030
  article-title: An Investigation of the Laws of Plastic Flow
  contributor:
    fullname: Bingham
– volume: 25
  start-page: 1019
  issue: 5–6
  year: 2000
  ident: 10.1016/j.anihpc.2018.12.001_br0110
  article-title: Existence of solutions for the equations modelling the motion of a rigid body in a viscous fluid
  publication-title: Commun. Partial Differ. Equ.
  contributor:
    fullname: Conca
– volume: 259
  start-page: 2856
  issue: 11
  year: 2010
  ident: 10.1016/j.anihpc.2018.12.001_br0390
  article-title: Existence of solutions for the equations modeling the motion of rigid bodies in an ideal fluid
  publication-title: J. Funct. Anal.
  doi: 10.1016/j.jfa.2010.07.006
  contributor:
    fullname: Houot
– volume: 67
  start-page: 2022
  issue: 12
  year: 2014
  ident: 10.1016/j.anihpc.2018.12.001_br0290
  article-title: Existence of weak solutions up to collision for viscous fluid–solid systems with slip
  publication-title: Commun. Pure Appl. Math.
  doi: 10.1002/cpa.21523
  contributor:
    fullname: Gérard-Varet
– volume: 11
  start-page: 1349
  issue: 8
  year: 2001
  ident: 10.1016/j.anihpc.2018.12.001_br0340
  article-title: Numerical analysis of some decoupling techniques for the approximation of the unsteady fluid structure interaction
  publication-title: Math. Models Methods Appl. Sci.
  doi: 10.1142/S0218202501001367
  contributor:
    fullname: Grandmont
– volume: 30
  start-page: 841
  issue: 4
  year: 1966
  ident: 10.1016/j.anihpc.2018.12.001_br0460
  article-title: On stagnant flow regions of a viscous-plastic medium in pipes
  publication-title: J. Appl. Math. Mech.
  doi: 10.1016/0021-8928(66)90035-9
  contributor:
    fullname: Mosolov
– volume: 218
  start-page: 907
  issue: 2
  year: 2015
  ident: 10.1016/j.anihpc.2018.12.001_br0310
  article-title: Uniqueness results for weak solutions of two-dimensional fluid–solid systems
  publication-title: Arch. Ration. Mech. Anal.
  doi: 10.1007/s00205-015-0876-8
  contributor:
    fullname: Glass
– volume: vol. 2
  start-page: 1
  year: 1998
  ident: 10.1016/j.anihpc.2018.12.001_br0240
  article-title: Slow motion of a body in a viscous incompressible fluid with application to particle sedimentation
  contributor:
    fullname: Galdi
– start-page: 208
  year: 1954
  ident: 10.1016/j.anihpc.2018.12.001_br0490
  article-title: On slow visco-plastic flow
  contributor:
    fullname: Prager
– volume: 48
  start-page: 1313
  issue: 4
  year: 2010
  ident: 10.1016/j.anihpc.2018.12.001_br0040
  article-title: Convergence analysis of a penalization method for the three-dimensional motion of a rigid body in an incompressible viscous fluid
  publication-title: SIAM J. Numer. Anal.
  doi: 10.1137/090767856
  contributor:
    fullname: Bost
– start-page: 297
  year: 2008
  ident: 10.1016/j.anihpc.2018.12.001_br0280
  contributor:
    fullname: de Gennes
– volume: 86
  year: 2012
  ident: 10.1016/j.anihpc.2018.12.001_br0440
  article-title: Dynamics of dense granular flows of small-and-large-grain mixtures in an ambient fluid
  publication-title: Phys. Rev. E
  doi: 10.1103/PhysRevE.86.026311
  contributor:
    fullname: Meruane
– volume: 40
  start-page: 2451
  issue: 6
  year: 2009
  ident: 10.1016/j.anihpc.2018.12.001_br0380
  article-title: Collisions in three-dimensional fluid structure interaction problems
  publication-title: SIAM J. Math. Anal.
  doi: 10.1137/080716074
  contributor:
    fullname: Hillairet
– volume: 329
  start-page: 325
  issue: 1
  year: 2014
  ident: 10.1016/j.anihpc.2018.12.001_br0170
  article-title: Long-time behavior for the two-dimensional motion of a disk in a viscous fluid
  publication-title: Commun. Math. Phys.
  doi: 10.1007/s00220-014-1884-5
  contributor:
    fullname: Ervedoza
– volume: 142
  start-page: 36
  issue: 1
  year: 2007
  ident: 10.1016/j.anihpc.2018.12.001_br0120
  article-title: On the numerical simulation of Bingham visco-plastic flow: old and new results
  publication-title: J. Non-Newton. Fluid Mech.
  doi: 10.1016/j.jnnfm.2006.09.002
  contributor:
    fullname: Dean
– volume: 26
  start-page: 777
  issue: 3
  year: 2009
  ident: 10.1016/j.anihpc.2018.12.001_br0060
  article-title: A regularity result for a solid–fluid system associated to the compressible Navier–Stokes equations
  publication-title: Ann. Inst. Henri Poincaré, Anal. Non Linéaire
  doi: 10.1016/j.anihpc.2008.02.004
  contributor:
    fullname: Boulakia
– volume: 5
  issue: 66
  year: 2014
  ident: 10.1016/j.anihpc.2018.12.001_br0330
  article-title: Continuum modeling of granular media
  publication-title: Appl. Mech. Rev.
  contributor:
    fullname: Goddard
– volume: 8
  start-page: 1499
  issue: 12
  year: 2003
  ident: 10.1016/j.anihpc.2018.12.001_br0560
  article-title: Analysis of strong solutions for the equations modeling the motion of a rigid-fluid system in a bounded domain
  publication-title: Adv. Differ. Equ.
  contributor:
    fullname: Takahashi
– volume: 43
  start-page: 100
  year: 1947
  ident: 10.1016/j.anihpc.2018.12.001_br0470
  article-title: A rational formulation of the equations of plastic flow for a Bingham solid
  publication-title: Proc. Camb. Philos. Soc.
  doi: 10.1017/S0305004100023239
  contributor:
    fullname: Oldroyd
– volume: 44
  start-page: 3101
  issue: 5
  year: 2012
  ident: 10.1016/j.anihpc.2018.12.001_br0300
  article-title: On the motion of a rigid body in a two-dimensional irregular ideal flow
  publication-title: SIAM J. Math. Anal.
  doi: 10.1137/110839539
  contributor:
    fullname: Glass
– volume: 34
  start-page: 416
  year: 2017
  ident: 10.1016/j.anihpc.2018.12.001_br0090
  article-title: The motion of the rigid body in the viscous fluid including collisions. Global solvability result
  publication-title: Nonlinear Anal., Real World Appl.
  doi: 10.1016/j.nonrwa.2016.09.011
  contributor:
    fullname: Chemetov
– volume: 6
  start-page: 53
  issue: 1
  year: 2004
  ident: 10.1016/j.anihpc.2018.12.001_br0570
  article-title: Global strong solutions for the two-dimensional motion of an infinite cylinder in a viscous fluid
  publication-title: J. Math. Fluid Mech.
  doi: 10.1007/s00021-003-0083-4
  contributor:
    fullname: Takahashi
– volume: 66
  start-page: 19
  issue: 1
  year: 1987
  ident: 10.1016/j.anihpc.2018.12.001_br0540
  article-title: Instability in the evolution equations describing incompressible granular flow
  publication-title: J. Differ. Equ.
  doi: 10.1016/0022-0396(87)90038-6
  contributor:
    fullname: Schaeffer
– volume: 10
  start-page: 157
  issue: 2
  year: 1952
  ident: 10.1016/j.anihpc.2018.12.001_br0150
  article-title: Soil mechanics and plastic analysis or limit design
  publication-title: Q. Appl. Math.
  doi: 10.1090/qam/48291
  contributor:
    fullname: Drucker
– volume: vol. 1
  start-page: 121
  year: 2002
  ident: 10.1016/j.anihpc.2018.12.001_br0260
  article-title: Strong solutions to the problem of motion of a rigid body in a Navier–Stokes liquid under the action of prescribed forces and torques
  contributor:
    fullname: Galdi
– volume: 25
  start-page: 1399
  issue: 7–8
  year: 2000
  ident: 10.1016/j.anihpc.2018.12.001_br0140
  article-title: On weak solutions for fluid-rigid structure interaction: compressible and incompressible models
  publication-title: Commun. Partial Differ. Equ.
  contributor:
    fullname: Desjardins
– volume: 161
  start-page: 113
  issue: 2
  year: 2002
  ident: 10.1016/j.anihpc.2018.12.001_br0520
  article-title: Global weak solutions for the two-dimensional motion of several rigid bodies in an incompressible viscous fluid
  publication-title: Arch. Ration. Mech. Anal.
  doi: 10.1007/s002050100172
  contributor:
    fullname: San Martín
– volume: vol. 2
  year: 1979
  ident: 10.1016/j.anihpc.2018.12.001_br0580
  article-title: Navier–Stokes Equations
  contributor:
    fullname: Temam
– volume: 9
  start-page: 104
  issue: 1
  year: 2007
  ident: 10.1016/j.anihpc.2018.12.001_br0600
  article-title: Existence of weak solutions to the equations of non-stationary motion of non-Newtonian fluids with shear rate dependent viscosity
  publication-title: J. Math. Fluid Mech.
  doi: 10.1007/s00021-006-0219-5
  contributor:
    fullname: Wolf
– volume: 184
  start-page: 241
  issue: 2–4
  year: 2000
  ident: 10.1016/j.anihpc.2018.12.001_br0320
  article-title: A distributed Lagrange multiplier/fictitious domain method for the simulation of flow around moving rigid bodies: application to particulate flow
  publication-title: Comput. Methods Appl. Mech. Eng.
  doi: 10.1016/S0045-7825(99)00230-3
  contributor:
    fullname: Glowinski
– volume: 49
  start-page: 4625
  issue: 6
  year: 2017
  ident: 10.1016/j.anihpc.2018.12.001_br0010
  article-title: Fluid-rigid structure interaction system with Coulomb's law
  publication-title: SIAM J. Math. Anal.
  doi: 10.1137/16M1099947
  contributor:
    fullname: Bălilescu
– volume: 146
  start-page: 59
  issue: 1
  year: 1999
  ident: 10.1016/j.anihpc.2018.12.001_br0130
  article-title: Existence of weak solutions for the motion of rigid bodies in a viscous fluid
  publication-title: Arch. Ration. Mech. Anal.
  doi: 10.1007/s002050050136
  contributor:
    fullname: Desjardins
– ident: 10.1016/j.anihpc.2018.12.001_br0100
  contributor:
    fullname: Chemetov
– volume: 34
  start-page: 609
  issue: 3
  year: 2000
  ident: 10.1016/j.anihpc.2018.12.001_br0350
  article-title: Existence for an unsteady fluid-structure interaction problem
  publication-title: Modél. Math. Anal. Numér.
  doi: 10.1051/m2an:2000159
  contributor:
    fullname: Grandmont
– year: 2011
  ident: 10.1016/j.anihpc.2018.12.001_br0250
  article-title: An Introduction to the Mathematical Theory of the Navier–Stokes Equations
  doi: 10.1007/978-0-387-09620-9
  contributor:
    fullname: Galdi
– volume: 3
  start-page: 419
  issue: 3
  year: 2003
  ident: 10.1016/j.anihpc.2018.12.001_br0190
  article-title: On the motion of rigid bodies in a viscous incompressible fluid
  publication-title: J. Evol. Equ.
  doi: 10.1007/s00028-003-0110-1
  contributor:
    fullname: Feireisl
– volume: 24
  start-page: 139
  issue: 1
  year: 2007
  ident: 10.1016/j.anihpc.2018.12.001_br0480
  article-title: On the motion of a rigid body immersed in a bidimensional incompressible perfect fluid
  publication-title: Ann. Inst. Henri Poincaré, Anal. Non Linéaire
  doi: 10.1016/j.anihpc.2005.12.004
  contributor:
    fullname: Ortega
– volume: 29
  start-page: 545
  issue: 3
  year: 1965
  ident: 10.1016/j.anihpc.2018.12.001_br0450
  article-title: Variational methods in the theory of the fluidity of a viscous-plastic medium
  publication-title: J. Appl. Math. Mech.
  doi: 10.1016/0021-8928(65)90063-8
  contributor:
    fullname: Mosolov
– volume: 43
  start-page: 1536
  issue: 4
  year: 2005
  ident: 10.1016/j.anihpc.2018.12.001_br0510
  article-title: Convergence of the Lagrange–Galerkin method for the equations modelling the motion of a fluid-rigid system
  publication-title: SIAM J. Numer. Anal.
  doi: 10.1137/S0036142903438161
  contributor:
    fullname: San Martín
– volume: 219
  start-page: 1
  year: 2015
  ident: 10.1016/j.anihpc.2018.12.001_br0400
  article-title: Viscoplastic modeling of granular column collapse with pressure-dependent rheology
  publication-title: J. Non-Newton. Fluid Mech.
  doi: 10.1016/j.jnnfm.2015.02.006
  contributor:
    fullname: Ionescu
– volume: 77
  start-page: 638
  issue: 2
  year: 2017
  ident: 10.1016/j.anihpc.2018.12.001_br0220
  article-title: Critical yield numbers of rigid particles settling in Bingham fluids and Cheeger sets
  publication-title: SIAM J. Appl. Math.
  doi: 10.1137/16M10889770
  contributor:
    fullname: Frigaard
– volume: 84
  start-page: 1515
  issue: 11
  year: 2005
  ident: 10.1016/j.anihpc.2018.12.001_br0050
  article-title: Existence of weak solutions for an interaction problem between an elastic structure and a compressible viscous fluid
  publication-title: J. Math. Pures Appl. (9)
  doi: 10.1016/j.matpur.2005.08.004
  contributor:
    fullname: Boulakia
– year: 1985
  ident: 10.1016/j.anihpc.2018.12.001_br0590
  article-title: Mathematical Problems in Plasticity
  contributor:
    fullname: Temam
– volume: 32
  start-page: 1345
  issue: 7–9
  year: 2007
  ident: 10.1016/j.anihpc.2018.12.001_br0370
  article-title: Lack of collision between solid bodies in a 2D incompressible viscous flow
  publication-title: Commun. Partial Differ. Equ.
  doi: 10.1080/03605300601088740
  contributor:
    fullname: Hillairet
– volume: 165
  start-page: 263
  issue: 5
  year: 2010
  ident: 10.1016/j.anihpc.2018.12.001_br0500
  article-title: Creeping flow around particles in a Bingham fluid
  publication-title: J. Non-Newton. Fluid Mech.
  doi: 10.1016/j.jnnfm.2010.01.001
  contributor:
    fullname: Putz
– volume: vol. 3
  year: 1996
  ident: 10.1016/j.anihpc.2018.12.001_br0420
  article-title: Mathematical Topics in Fluid Mechanics, vol. 1
  contributor:
    fullname: Lions
– volume: vol. 219
  year: 1976
  ident: 10.1016/j.anihpc.2018.12.001_br0160
  article-title: Inequalities in Mechanics and Physics
  contributor:
    fullname: Duvaut
– start-page: 291
  year: 2008
  ident: 10.1016/j.anihpc.2018.12.001_br0210
  article-title: On the motion of several rigid bodies in a viscous multipolar fluid
  contributor:
    fullname: Feireisl
– volume: 17
  start-page: 403
  year: 1970
  ident: 10.1016/j.anihpc.2018.12.001_br0230
  article-title: On existence of weak solutions of the Navier–Stokes equations in regions with moving boundaries
  publication-title: J. Fac. Sci., Univ. Tokyo, Sect. I
  contributor:
    fullname: Fujita
– volume: 21
  start-page: 1349
  issue: 6
  year: 2008
  ident: 10.1016/j.anihpc.2018.12.001_br0200
  article-title: On the motion of several rigid bodies in an incompressible non-Newtonian fluid
  publication-title: Nonlinearity
  doi: 10.1088/0951-7715/21/6/012
  contributor:
    fullname: Feireisl
– volume: 441
  start-page: 727
  year: 2006
  ident: 10.1016/j.anihpc.2018.12.001_br0410
  article-title: A constitutive law for dense granular flows
  publication-title: Nature
  doi: 10.1038/nature04801
  contributor:
    fullname: Jop
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Snippet We consider the motion of a rigid body in a viscoplastic material. This material is modeled by the 3D Bingham equations, and the Newton laws govern the...
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SubjectTerms Analysis of PDEs
Bingham fluid
Fluid-structure interaction systems
Mathematics
Rigid body
Weak solutions
Title Existence of weak solutions for a Bingham fluid-rigid body system
URI https://dx.doi.org/10.1016/j.anihpc.2018.12.001
https://hal.science/hal-01942426
Volume 36
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