About lifespan of regular solutions of equations related to viscoelastic fluids

被引:222
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
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
收藏
页码:84 / 112
页数:29
相关论文
共 21 条
[21]  
Triebel H., 1978, Interpolation theory, function spaces, differential operators