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

摘要

We prove a local existence of a strong solution v:Ω× 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 ΩR~3 with a Dirichlet boundary condition and a standard initial condition.