Global solutions for a model of polymeric flows with wall slip

• Published in: Mathematical methods in the applied sciences Vol. 40; no. 14; pp. 5035 - 5043
• Main Author: Baranovskii, E. S.
• Format: Journal Article
• Language: English
• 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

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...