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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Zusammenfassung: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.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.4368