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Global solutions for a model of polymeric flows with wall slip
Author(s) -
Baranovskii E. S.
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4368
Subject(s) - uniqueness , bounded function , mathematics , boundary value problem , slip (aerodynamics) , weak solution , domain (mathematical analysis) , construct (python library) , mathematical analysis , computer science , physics , thermodynamics , programming language
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.