THE WEAK SIGMA-ATTRACTOR FOR THE SEMI-DISSIPATIVE 2D BOUSSINESQ SYSTEM

被引：3

作者：

He, Jinfang ^{[1
]}

Sun, Chunyou ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 148卷 / 03期

关键词：

Weak sigma-attractor; Boussinesq equations; semi-dissipative system; EQUATIONS; REGULARITY; EXISTENCE;

D O I：

10.1090/proc/14807

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain the attraction properties for the velocity variable of the 2D Boussinesq equations with viscosity and without heat diffusion in the sense of the strong topology of V and prove that the weak sigma-attractor has a pancake-like structure, which answer partly some questions arising in Biswas et al. [Ann. Inst. H. Poincare Anal. Non Lineaire 34 (2017), pp. 381-405] and enrich the structure of the weak sigma-attractor.

引用

页码：1219 / 1231

页数：13

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