LONG TIME DYNAMICS OF A MODEL OF ELECTROCONVECTION

被引：7

作者：

Abdo, Elie ^{[1
]}

Ignatova, Mihaela ^{[1
]}

机构：

[1] Temple Univ, Dept Math, Philadelphia, PA 19122 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2021年 / 374卷 / 08期

关键词：

Electroconvection; attractor; dynamics; ATTRACTORS;

D O I：

10.1090/tran/8394

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a model of electroconvection in which a two dimensional viscous fluid caries electrical charges and interacts with them. The system has global solutions, but in general the solutions do not have bounded mean. Tracking the mean, we associate to each solution a mean zero frame and show that in the mean zero frame the system has a compact, finite dimensional global attractor. If the fluid is forced only by electrical forces and no other body forces are present, then the attractor reduces to one point.

引用

页码：5849 / 5875

页数：27

共 13 条

[1] Global well-posedness and finite-dimensional global attractor for a 3-D planetary geostrophic viscous model [J].