Stability of the 2D Boussinesq System with Partial Dissipation

被引：3

作者：

Wei, Youhua ^{[1
]}

Li, Dan ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2021年 / 33卷 / 04期

基金：

国家重点研发计划;

关键词：

Boussinesq equation; Hydrostatic equilibrium; Partial dissipation; Large-time behavior; Stability; EQUATIONS; REGULARITY;

D O I：

10.1007/s10884-020-09870-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper establishes the global stability for the 2D Boussinesq system with partial dissipation and horizontal thermal diffusion. When there is no thermal diffusion, the stability of the temperature gradient remains an open problem. We extend the H-1-stability in [7] to H-2-stability which we care about and obtain the large time behavior of the linearized system.

引用

页码：1615 / 1624

页数：10

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