Incompressible 3D Navier-Stokes Equations as a Limit of a Nonlinear Parabolic System

被引：4

作者：

Rusin, Walter ^{[1
]}

机构：

[1] Univ So Calif, Dept Math, Los Angeles, CA 90089 USA

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2012年 / 14卷 / 02期

关键词：

Navier-Stokes equations; Mild solutions; Weak solutions; Parabolic systems; SELF-SIMILAR SOLUTIONS; PARTIAL REGULARITY; WEAK SOLUTIONS; INITIAL DATA;

D O I：

10.1007/s00021-011-0074-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the Cauchy problem for a nonlinear parabolic system in with initial data in Lebesgue spaces or . We analyze the convergence of its solutions to a solution of the incompressible Navier-Stokes system as .

引用

页码：383 / 405

页数：23

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