引入地形因素的海洋动力学方程组整体弱解的稳定性

The stability of global weak solutions to the ocean dynamics equations with topography effects

研究了引入地形因素和非定常外源强迫的海洋动力学方程组.该方程组是由速度方程、温度方程和盐度方程耦合而成的.在假设初值具有一定正则性时,使用能量估计方法,证明了给出新盐度边界条件的海洋动力学方程组初边值问题整体弱解的L1稳定性和几乎处处稳定性等结论.

This paper analyzed the ocean dynamics equations consisting of the velocity equation,the temperature equation and the salinity equation.Based on the initial data assumptions,we prove the stability of global weak solutions to the ocean dynamics equations with topography effects and non-constant external force in the case that a new ocean salinity boundary condition is given.