报告人：张明波 副教授
报告题目：Noise Regularization for Jump-Type Transport Equations with Singular Coefficients
报告时间：2026年5月16日（周六）上午9：00
报告地点：云龙校区6号楼304报告厅
主办单位：数学与统计学院、数学研究院、科学技术研究院
报告人简介：
张明波：江西财经大学统计与数据科学学院，博士毕业于中山大学数学学院，研究方向随机微分方程。
报告摘要：
We consider a stochastic transport equation with a jump term and investigate the no-blow-up problem. The drift coefficient is assumed only to be integrable. Unlike the deterministic case, where smooth initial conditions may give rise to discontinuities, we show that a certain level of Sobolev regularity is preserved, which in turn implies H\{o}lder continuity of the solutions. To establish the existence, uniqueness, and regularity of solutions for this equation, we study a more general fully nonlinear stochastic partial differential equation with jumps via the method of characteristics. The proof of the maintained regularity is rigorously established through a detailed analysis of the associated stochastic flow of characteristics.