%0 Journal Article
%T 带状域无浮力扩散的二维Boussinesq方程的稳定性<br>Stability of the 2D Boussinesq Equations without Buoyancy Diffusion in Strip Domain
%A 成子强
%A 任晓霞
%J Advances in Applied Mathematics
%P 1683-1689
%@ 2324-8009
%D 2023
%I Hans Publishing
%R 10.12677/AAM.2023.124174
%X 我们证明了带状域R×(0,1)中不含浮力扩散具有Navier型滑移边界条件的二维Boussinesq方程在平衡状态(0,x<sub>2</sub>)附近的全局适定性。值得一提的是，本文仅利用能量估计，方程自身结构以及？<sub>1</sub>u利普希茨范数的衰减率即可获得低正则性结果。<br />
We prove the global well-posedness for the 2D Boussinesq equations without buoyancy diffusion around the equilibrium state <span>(0,x</span><sub>2</sub><span>)</span> in the strip domain <span>R×(0,1)</span> with Navier-type slip boundary condition. It is worth mentioning that the results of low regularity are obtained using only the en-ergy estimate, the structure of the equations and the decay rate of Lip norm of <span>？</span><sub>1</sub><span>u</span> .
%K Boussinesq方程，带状域，低正则性 <br>Boussinesq Equations
%K Strip Domain
%K Low Regularity
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=64539