报告人：刘辉（曲阜师范大学）

主持人：张晓颖

时 间：2023.7.9 10：00-11：00

地 点：国盛大酒店福运厅

主办单位：长春大学理学院

报告人简介：First, existence and uniqueness of a global solution of the three-dimensional Boussinesq-MHD equations with partial viscosity and damping are proved for. Second, we prove that there is a unique global smooth solution of the 3D generalized MHD-Boussinesq equations with temperature-dependent thermal diffusivity in the Sobolev class for any s>2. Third, global smooth solution of the three-dimensional generalized tropical climate model with partial viscosity and damping is proved in (s>2) for/2and. Finally, using the unique ergodicity and the uniform large deviations results, we prove the large deviations of invariant measure by verifying the Freidlin-Wentzell large deviations upper and lower bounds.

观点综述：博士研究生，青年教授，硕士研究生导师，主要研究方向为随机流体方程，无穷维随机动力系统和流体方程。目前主持国家自然科学基金面上项目一项，主持完成国家，省部级项目四项。近年来在J. Differential Equations、Commun. Math. Sci，Z. Angew. Math. Phys.等SCI期刊上发表论文近40篇。