REGULARITY FOR A GENERALIZED JEFFREY'S INTEGRAL MODEL FOR VISCOELASTIC FLUIDS

• ID: 2700, RIV: 10314815
• ISSN: 0252-9602, ISBN: not specified
• source: Acta Mathematica Scientia
• keywords: integral model; viscoelastic fluid; strong solution
• authors: Ivan Soukup
• authors from KNM: not assigned

Abstract

We prove a local existence of a strong solution nu : Omega x T -> R-3 for a system of nonlinear integrodifferential equations describing motion of an incompressible viscoelastic fluid using standard mathematical tools. The problem is considered in a bounded, smooth domain Omega subset of R-3 with a Dirichlet boundary condition and a standard initial condition.