云亭数学讲坛2024第10讲——王碧祥教授

文章来源:皇冠正规娱乐平台发布日期:2024-06-21浏览次数:78


学院邀请,美国New Mexico Institute of Mining and Technology王碧祥教授来皇冠正规娱乐平台学术报告

报告题目:Large Deviations of Fractional Stochastic Equations on Unbounded Domains

报告摘要:In this talk, we discuss the large deviation principle of the non-local fractional stochasticreaction-diffusion equations with a polynomial drift of arbitrary degree driven by multiplicative noise defined on unbounded domains. We first prove the strong convergence of the solutions ofa control equation with respect to the weak topology of controls, and then show the convergence in distribution of the solutions of the stochastic equation when the noise intensity approaches zero. We finally establish the large deviations of the stochastic equation by the weak convergence method. The main difficulty of the paper is caused by the non-compactness of Sobolev embeddings

on unbounded domains, and the idea of uniform tail-ends estimates is employed to circumvent the obstacle in order to obtain the tightness of distribution laws of the stochastic equation and the precompactness of the control equation.

报告时间:202462215:00

报告地点:致勤楼C101

邀请人:张旭萍副教授

届时欢迎广大师生参与交流!


报告人简介王碧祥,美国新墨西哥矿业理工大学数学系终身教授,博士生导师。1994年毕业于兰州大学,获理学博士学位。曾在北京应用物理与计算数学研究所和美国杨百翰大学从事博士后研究工作,在清华大学担任助理教授,在美国堪萨斯大学与西班牙马德里大学担任访问助理教授。主要从事确定与随机偏微分方程及无穷维随机动力系统等领域的研究工作。在Transactions of AMSSIAM系列杂志, J. Funct. Anal.Phys. D NonlinearityJDEDCDS, JDDE等国际知名学术期刊上发表高水平学术论文100多篇,并获美国国家自然科学基金资助。



甘肃省数学与统计学基础学科研究中心

皇冠正规娱乐平台

2024年6月21日




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