Incompressible viscous flows in borderline Besov spaces

被引：37
|
作者：
Hmidi, Taoufik [1 ]
Keraani, Sahbi [1 ]
机构：
[1] Univ Rennes 1, IRMAR, F-35042 Rennes, France
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2008年 / 189卷 / 02期
关键词：
D O I：
10.1007/s00205-008-0115-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish two new estimates for a transport-diffusion equation. As an application we treat the problem of global persistence of the Besov regularity B(p, 1)(2/p+1), with p.] p is an element of ]2,+infinity], for the two-dimensional Navier-Stokes equations with uniform bounds on the viscosity. We provide also an inviscid global result.
引用
收藏
页码：283 / 300
页数：18
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