應77779193永利邀請，貴州師範大學王仁海教授将為我院師生作線上學術報告。

報告題目：Necessary and Sufficient Criteria for Existence, Regularity and Asymptotic Stability of Enhanced Pullback Attractors with Applications to 3D Primitive Equations

報告摘要：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.

報告時間：2022年12月9日10:30

報告地點：騰訊會議(ID：166 233 554)

邀請人：陳鵬玉 副教授

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報告人簡介

王仁海, 貴州師範大學特聘教授，西南大學與美國New Mexico Institute of Mining and Technology聯合培養博士（導師：李揚榮教授與Bixiang Wang教授）， 北京應用物理與計算數學研究所博士後（合作導師：郭柏靈院士）。主要從事随機動力系統理論的研究，相關成果發表在《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.》與中國科學數學等權威數學刊物上。主持中國博士後科學基金面上項目與特别資助項目各1項，擔任30多本SCI期刊的審稿人。