带有部分粘性和阻尼项的三维热带气候模型的整体适定性

Global Well-posedness of the 3D Tropical Climate Models with Partial Viscosity and Damping

在三维情形下研究了带有部分粘性和阻尼项的不可压热带气候模型的整体适定性问题,通过对热带气候模型的非线性结构细致分析并结合能量估计的方法在各向异性Sobolev空间中证明了当β≥4时该模型解的整体存在性和唯一性.

This paper studies the global well-posedness of the solutions to the incompressible tropical climate models with partial viscosity and damping terms in R3 by means of the detailed analysis of the structure of the models and combining with energy estimation in the anisotropic Sobolev spaces.The global existence and uniqueness of the solutions of the models are proved forβ≥4.