Stability and large-time behavior of the 2D Boussinesq system with mixed partial dissipations near hydrostatic equilibrium

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发表日期：

2025年5月19日

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Dongxiang Chen,
Xiaoli Li

摘要

The purpose of this note is to address the stability and large-time behavior for the 2D Boussinesq system with vertical dissipation on $u_1$ $u_{1}$ and horizontal dissipation on $u_2$ $u_{2}$ near a hydrostatic equilibrium. Meanwhile, the decay estimates of that system are also presented. Finally, we also obtain the decay rates of the solution to the corresponding linearized equation of the Boussinesq system.