报告人：赵文强 教授 （重庆工商大学）

报告题目：Higher-order Wong-Zakai approximations of stochastic reaction-diffusion equations on R^N

报告摘要：In this paper, we consider the higher-order Wong-Zakai approximations of the non-autonomous stochastic reaction-diffusion equation driven by additive/multiplicative white noises. The solutions between the approximation equation and  stochastic reaction-diffusion equation are compared in higher-order spaces, in terms of the initial data. Based on these results and the known $L^2$-upper semi-continuity, we prove that the random attractor of the approximation random system converges to that of the non-autonomous stochastic reaction-diffusion equation with additive/multiplicative white noises in  $L^p(\R^N)\cap H^1(\R^N)$ when the size of the approximation shrinks to zero.

报告人简介：赵文强，理学博士，重庆工商大学sunbet中国官网教授, 主要从事无穷维随机动力系统的吸引子相关问题的研究，近五年来，在《Physica D: Nonlinear Phenomena》、《J. Math. Anal. Appl.》、《Nonlinear Analysis: TMA》、《Comm. Nonlinear Sci.Numer.Simulat.》和《中国科学.数学》等国际国内权威期刊发表论文50余篇，其中SCI收录论文30余篇。

报告时间：2019年10月26日（星期六）上午 8:00-10:00

报告地点：科技楼南楼815室