数学物理学报(英文版) ›› 2015, Vol. 35 ›› Issue (6): 1251-1284.doi: 10.1016/S0252-9602(15)30053-9

• 论文 •    下一篇

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
  • 收稿日期:2015-02-24 修回日期:2014-08-07 出版日期:2015-11-01 发布日期:2015-11-01
  • 作者简介:Ivan SOUKUP, E-mail: soukup@karlin.mff.cuni.cz
  • 基金资助:

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

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).

摘要:

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.

关键词: integral model, viscoelastic fluid, strong solution

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

中图分类号: 

  • 76A10