Existence of weak solutions for non-stationary flows of fluids with shear thinning dependent viscosities under slip boundary conditions in half space
This paper treats the system of motion for an incompressible non-Newtonian fluids of the stress tensor described by p-potential function subject to slip boundary conditions in ℝ + 3 . Making use of the Oseentype approximation to this model and the L ∞ -truncation method, one can establish the existe...
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| Published in | Science China. Mathematics Vol. 61; no. 4; pp. 727 - 744 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
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Beijing
Science China Press
01.04.2018
Springer Nature B.V |
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| Abstract | This paper treats the system of motion for an incompressible non-Newtonian fluids of the stress tensor described by p-potential function subject to slip boundary conditions in ℝ
+
3
. Making use of the Oseentype approximation to this model and the
L
∞
-truncation method, one can establish the existence theorem of weak solutions for p-potential flow with
p
∈ (
8
5
, 2] provided that large initial are regular enough. |
|---|---|
| AbstractList | This paper treats the system of motion for an incompressible non-Newtonian fluids of the stress tensor described by p-potential function subject to slip boundary conditions in ℝ
+
3
. Making use of the Oseentype approximation to this model and the
L
∞
-truncation method, one can establish the existence theorem of weak solutions for p-potential flow with
p
∈ (
8
5
, 2] provided that large initial are regular enough. This paper treats the system of motion for an incompressible non-Newtonian fluids of the stress tensor described by p-potential function subject to slip boundary conditions in ℝ+3. Making use of the Oseentype approximation to this model and the L∞-truncation method, one can establish the existence theorem of weak solutions for p-potential flow with p ∈ (85, 2] provided that large initial are regular enough. |
| Author | Zang, Aibin |
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| CitedBy_id | crossref_primary_10_1007_s00021_022_00756_6 crossref_primary_10_3390_math9010004 |
| Cites_doi | 10.1007/BF02433444 10.1016/j.jmaa.2010.10.045 10.1512/iumj.2007.56.2997 10.1002/cpa.20187 10.1016/j.jmaa.2007.10.034 10.1007/s00021-008-0266-1 10.1007/s00021-004-0120-z 10.1002/mma.748 10.1007/s00021-006-0219-5 10.1007/s00021-008-0257-2 10.1016/0022-1236(84)90024-7 10.1137/060663635 10.1137/07069540X 10.1016/S1874-5717(06)80008-3 10.1002/cpa.20036 10.1090/qam/1753406 10.1007/s00021-008-0258-1 10.1007/978-1-4899-6824-1 10.1051/cocv:2007049 10.3934/cpaa.2009.8.769 10.1016/S0362-546X(97)00392-1 10.1137/S0036141002410988 10.1007/BF00375643 10.4171/JEMS/144 10.1016/j.jmaa.2008.09.009 10.1007/s00021-009-0012-3 10.1016/j.crma.2010.04.010 10.1007/s00021-008-0277-y 10.1007/s00021-004-0124-8 10.1016/j.nonrwa.2010.03.004 10.1007/s00205-010-0364-0 10.21136/AM.1996.134320 10.1016/j.anihpc.2002.11.002 |
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| Snippet | This paper treats the system of motion for an incompressible non-Newtonian fluids of the stress tensor described by p-potential function subject to slip... |
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| SubjectTerms | Applications of Mathematics Boundary conditions Computational fluid dynamics Existence theorems Fluid flow Incompressible flow Mathematics Mathematics and Statistics Newtonian fluids Non Newtonian fluids Potential flow Shear thinning (liquids) Slip Viscosity |
| Title | Existence of weak solutions for non-stationary flows of fluids with shear thinning dependent viscosities under slip boundary conditions in half space |
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