Global solutions for a model of polymeric flows with wall slip

We consider the initial‐boundary value problem for a model of motion of aqueous polymer solutions in a bounded three‐dimensional domain subject to the Navier slip boundary condition. We construct a global (in time) weak solution to this problem. Moreover, we establish some uniqueness results, assumi...

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Bibliographic Details
Published inMathematical methods in the applied sciences Vol. 40; no. 14; pp. 5035 - 5043
Main Author Baranovskii, E. S.
Format Journal Article
LanguageEnglish
Published Freiburg Wiley Subscription Services, Inc 30.09.2017
Subjects
Boundary value problems
existence and uniqueness theorems
Fluid flow
Mathematical models
nonlinear PDE
non‐Newtonian fluid
polymeric flows
Slip
slip boundary condition
Three dimensional models
Uniqueness
Wall slip
weak solution
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Summary:We consider the initial‐boundary value problem for a model of motion of aqueous polymer solutions in a bounded three‐dimensional domain subject to the Navier slip boundary condition. We construct a global (in time) weak solution to this problem. Moreover, we establish some uniqueness results, assuming additional regularity for weak solutions. Copyright © 2017 John Wiley & Sons, Ltd.
Bibliography:ObjectType-Article-1
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content type line 14
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.4368