报告人：赵文强（重庆工商大学）

邀请人：崔洪勇

报告时间：2021年1月6日（星期三）11:00-12:00

报告地点：腾讯会议ID：210 915 570

报告题目: High-order Wong-Zakai approximations for non-autonomous stochastic $p$-Laplacian equations on $\R^N$}

报告摘要: In this talk, we investigate the approximations of stochastic $p$-Laplacian equation with additive white noise by a family ofpiecewise deterministic partial differential equations driven by a stationary stochastic process. We firstly obtain thetempered pullback attractors for the random $p$-Laplacian equation with a general diffusion.We secondly prove the convergence of solutions and the upper semi-continuity of pullback attractors of the Wong-Zakai approximation equations in a Hilbert space for the additive case. Thirdly, by a truncation technique, the uniform compactness of pullback attractor with respect to the quantity of approximations is derived in the space of $q$-times integrable functions, where the upper semi-continuity of the attractors of the approximation equations is well established.

报告人简介: 赵文强, 重庆工商大学教授, 研究方向为随机动力系统. 目前，在《J. Math. Anal. Appl.》、《Nonlinear Analysis: TMA》、《Comm. Nonlinear Sci.Numer.Simulat.》、《Applied Mathematics and Computation》、《Computers and Mathematics with Applications》、《Journal of Mathematical Physics.》、《Discrete Contin. Dyn. Syst. Ser. B》、《Acta Mathematica Scientia》、《中国科学.数学》、《数学学报》等国际国内权威期刊发表论文40余篇。出版学术著作2部，参与编写教材1部。