About lifespan of regular solutions of equations related to viscoelastic fluids

被引：227

作者：

Chemin, JY

Masmoudi, N

机构：

[1] Univ Paris 06, F-75230 Paris 05, France

[2] Univ Paris 09, CEREMADE, CNRS, URA 749, F-75775 Paris, France

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2001年 / 33卷 / 01期

关键词：

local and global well-posedness; Besov spaces; Oldroyd model;

D O I：

10.1137/S0036141099359317

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove existence and uniqueness of local and global solutions for a system of equations concerning an incompressible viscoelastic fluid of the Oldroyd type. We also show a new a priori estimate for the two-dimensional Navier Stokes system and a losing estimate for the transport equations that allow us to give a sufficient condition of non-breakdown.

引用

页码：84 / 112

页数：29

共 21 条

[1] TRANSPORT-EQUATIONS RELATIVE TO NON-LIPSCHITZ VECTOR-FIELDS AND FLUID-MECHANICS [J].