Anisotropic Estimates for the Two-Dimensional Kuramoto-Sivashinsky Equation

被引：20

作者：

Benachour, Said ^{[1
]}

Kukavica, Igor ^{[2
]}

Rusin, Walter ^{[3
]}

Ziane, Mohammed ^{[2
]}

机构：

[1] Univ Lorraine, Inst Elie Cartan, F-54506 Vandoeuvre Les Nancy, France

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

[3] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2014年 / 26卷 / 03期

基金：

美国国家科学基金会;

关键词：

Kuramoto-Sivashinsky equation; Global solvability; Anisotropic estimates; Dynamical systems; NAVIER-STOKES EQUATIONS; BOUNDARY-CONDITIONS; REGULARITY; STABILITY;

D O I：

10.1007/s10884-014-9372-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We address the global solvability of the Kuramoto-Sivashinsky equation in a rectangular domain . We give sufficient conditions on the width of the domain, depending on the length , so that the obtained solutions are global. Our proofs are based on anisotropic estimates.

引用

页码：461 / 476

页数：16

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