云亭数学讲坛2022第99讲——王仁海教授

文章来源:11474蒙特卡罗发布日期:2022-12-07浏览次数:123


应11474蒙特卡罗邀请,贵州师范大学王仁海教授将我院师生线上学术报告。

报告题目:Necessary and Sufficient Criteria for Existence, Regularity and Asymptotic Stability of Enhanced Pullback Attractors with Applications to 3D Primitive Equations

报告摘要:We introduce several new concepts called enhanced pullback attractors for nonautonomous dynamical systems by improving the compactness and attraction of the usual pullback attractors in strong topology spaces uniformly over some infinite time-intervals. Then we establish several necessary and sufficient criteria for the existence, regularity and asymptotic stability of these enhanced pullback attractors under some general theoretical frameworks which are expected to be applied to many kinds of nonautonomous PDEs.These abstract results are applied to the famous 3D primitive equations modelling the large-scale ocean and atmosphere dynamics when the forces satisfy some mild conditions. The uniform pullback asymptotic compactness of the solutions operators are established by deriving the uniform “flattening effects” and the uniform 1/2-Hölder continuity of the solutions.

报告时间:202212910:30

报告地点:腾讯会议(ID166 233 554)

邀请人:陈鹏玉 副教授

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报告人简介

王仁海, 贵州师范大学特聘教授,西南大学与美国New Mexico Institute of Mining and Technology联合培养博士(导师:李扬荣教授与Bixiang Wang教授), 北京应用物理与计算数学研究所博士后(合作导师:郭柏灵院士)。主要从事随机动力系统理论的研究,相关成果发表在《Math. Annalen》《Stoch. Proc. Appl.》《J. Dynam. Differ. Equ.》《Nonlinearity》《J. Differential Equations》《Bull. Sci. Math》《Discrete Contin. Dyn. Syst.》《Proc. Roy. Soc. Edinburgh Sect. A》《Proc. Amer. Math. Soc.》与中国科学数学等权威数学刊物上。主持中国博士后科学基金面上项目与特别资助项目各1项,担任30多本SCI期刊的审稿人。