報告人：劉輝（曲阜師范大學）

主持人：張曉穎

時 間：2023.7.9 10：00-11：00

地 點：國盛大酒店福運廳

主辦單位：長春大學理學院

報告人簡介：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.

觀點綜述：博士研究生，青年教授，碩士研究生導師，主要研究方向為隨機流體方程，無窮維隨機動力系統和流體方程。目前主持國家自然科學基金面上項目一項，主持完成國家，省部級項目四項。近年來在J. Differential Equations、Commun. Math. Sci，Z. Angew. Math. Phys.等SCI期刊上發表論文近40篇。