報告人：張讓讓 副教授

報告題目：Wong-Zakai approximation and support theorem for quasilinear parabolic stochastic partial differential equations

報告時間：2025年11月23日（周日）上午9：00

報告地點：云龍校區6號樓304會議室

主辦單位：數學與統計學院、數學研究院、科學技術研究院

報告人簡介：

張讓讓，北京理工大學數學與統計學院副教授。博士畢業于中國科學院數學與系統科學研究院，研究領域為隨機偏微分方程。在《Communications in Mathematical Physics》、《The Annals of Applied Probability》、《Journal of Differential Equations》、《Electronic Journal of Probability》等期刊發表論文二十余篇，主持國家自然科學基金面上項目、青年基金項目和北京市自然科學基金面上項目等。

報告摘要：

In this talk, we are concerned with Wong-Zakai approximation and support theorem for quasilinear parabolic stochastic partial differential equations. Since this class of equations is not locally monotone, we implement a regularization strategy using a sequence of heat kernel to modify the matrix-valued diffusion term, thereby recovering the monotonicity. As a result, the problem is reduced to prove two results of further layer approximations. To this end, we further employ a kinetic formulation of the approximating solutions in the L^1 setting and fully use the doubling variables techniques. This is based on a joint work with Tusheng Zhang.