Global solutions for a model of polymeric flows with wall slip

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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Veröffentlicht in:Mathematical methods in the applied sciences 2017-09, Vol.40 (14), p.5035-5043
1. Verfasser: Baranovskii, E. S.
Format: Artikel
Sprache:eng
Schlagworte:
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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creator Baranovskii, E. S.
description 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.
doi_str_mv 10.1002/mma.4368
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source Wiley Online Library Journals Frontfile Complete
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
title Global solutions for a model of polymeric flows with wall slip
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