海洋动力学中二维黏性原始方程组解对热源的收敛性

Convergence Results on Heat Source for 2 D Viscous Primitive Equations of Ocean Dynamics

考虑了在一个柱形区域上的海洋动力学中二维黏性方程组解的收敛性.在此模型中存在一个关键的参数就是热源,众多周知,它的存在可能会使流体内层之间出现共振从而导致不稳定.因此,通过推导方程组的先验界,得到了方程组的解对热源自身的收敛性.

The convergence of solutions to 2D viscous primitive equations of ocean dynamics in a cylindrical region was considered.A key parameter in this model is heat source,which is known to cause resonance between the inner layers of fluid and in turn trigger instability.Therefore,through derivation of the priori bounds of the equations,the convergence of solutions to the equations on the heat source itself was obtained.