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带状域无浮力扩散的二维Boussinesq方程的稳定性
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Abstract:
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 .
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