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
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.
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收藏
页码：84 / 112
页数：29
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