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

• ID: 2700, RIV: 10314815
• ISSN: 0252-9602, ISBN: neuvedeno
• zdroj: Acta Mathematica Scientia
• klíčová slova: integral model; viscoelastic fluid; strong solution
• autoři: Ivan Soukup
• autoři z KNM: nepřiřazeno

Abstrakt

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.