Stability threshold for 2D shear flows of the Boussinesq system near Couette

被引：8

作者：

Bian, Dongfen ^{[1
]}

Pu, Xueke ^{[2
]}

机构：

[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China

[2] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2022年 / 63卷 / 08期

关键词：

ENHANCED DISSIPATION; SUPERPOSED STREAMS; EQUATIONS;

D O I：

10.1063/5.0091052

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we consider the nonlinear stability for the shear flows of the Boussinesq system in a domain T x R. We prove the nonlinear stability of the shear flow (U-S, Theta(S)) = ((e(nu t partial derivative yy) U(y), 0)(?), alpha y) with U(y) close to y and alpha >= 0 in Sobolev spaces for the following two cases: (i) alpha >_ 0 is small scaling with the viscosity coefficients and initial perturbation < min{nu,mu}(1/2) and (ii) alpha > 0 is not small, the heat diffusion coefficient mu is fixed, and initial perturbation <= nu(1/2). Published under an exclusive license by AIP Publishing.

引用

页数：14