Acta mathematica scientia,Series B ›› 2015, Vol. 35 ›› Issue (6): 1251-1284.doi: 10.1016/S0252-9602(15)30053-9

• Articles •     Next Articles

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

Ivan SOUKUP   

  1. Department of Numerical Mathematics, Faculty of Mathematics and Physics, Charles University in Prague, Sokolovská 83, Praha 6, 186 75, Czech
  • Received:2015-02-24 Revised:2014-08-07 Online:2015-11-01 Published:2015-11-01
  • Supported by:

    This work was supported by Grant Agency of the Charles University (454213).

Abstract:

We prove a local existence of a strong solution v : Ω× T → R3 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⊂ R3 with a Dirichlet boundary condition and a standard initial condition.

Key words: integral model, viscoelastic fluid, strong solution

CLC Number: 

  • 76A10
Trendmd