带状域无浮力扩散的二维Boussinesq方程的稳定性  

Stability of the 2D Boussinesq Equations without Buoyancy Diffusion in Strip Domain

作　　者：成子强 任晓霞 

机构地区：[1]华北电力大学数理学院,北京

出　　处：《应用数学进展》2023年第4期1683-1689,共7页Advances in Applied Mathematics

摘　　要：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,x2)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∂1u利普希茨范数的衰减率即可获得低正则性结果。We prove the global well-posedness for the 2D Boussinesq equations without buoyancy diffusion around the equilibrium state (0,x2) in the strip domain R×(0,1) 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 ∂1u .

关 键 词：BOUSSINESQ方程 带状域 低正则性 

分 类 号：O17[理学—数学]