APPROXIMATE INERTIAL MANIFOLDS FOR 2D NAVIER-STOKES EQUATIONS

被引：5

作者：

CHEN, WH

机构：

[1] Department of Mathematics, Indiana University, Bloomington

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1992年 / 165卷 / 02期

关键词：

D O I：

10.1016/0022-247X(92)90048-I

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we provide two approximate inertial manifolds for the 2D Navier-Stokes equations in the periodic case. The first one is an inertial manifold for a dissipative equation obtained by modifying the Navier-Stokes equations, namely, by enlarging the gaps of the eigenvalues of the Stokes operator. The second one, which is explicit and simple, is found by approximating the previous approximate manifold with the Euler-Galerkin scheme. © 1992.

引用

页码：399 / 418

页数：20