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

Publication at Faculty of Mathematics and Physics |
2015

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.