报告题目：The wave interactions for the Chaplygin gas dynamics with a Dirac measure source term

报告摘要：In this talk, we will report the wave interactions for the Chaplygin gas dynamics with a Dirac measure source term. We first concern with the Riemann problem for the Chaplygin gas dynamics with a Dirac measure source term, and then find that the solutions of the Riemann problem consist of the delta standing wave, delta shock wave, contact discontinuity and stationary contact discontinuity. Then a general framework is provided to investigate the collision behavior of these waves. Under this framework, we analyze the possible wave patterns in each case, and obtain all of exact solutions which rigorously show the evolution process of theses waves.

报告人简介：庞一成，贵州财经大学教授、硕士生导师，主要从事非线性偏微分方程及其应用的研究工作。曾入选2020年度贵州省高等学校科技拔尖人才计划及2016年度贵州省高层次创新型人才（千层次）计划；主持国家自然科学基金2项、贵州省科技计划项目4项；在Studies in Applied Mathematics，Zeitschrift für Angewandte Mathematik und Physik，Journal of Mathematical Physics，Journal of Mathematical Analysis and Applications等专业期刊上发表学术论文40余篇。研究成果获2023年度贵州省自然科学奖三等奖。

报告时间：2026年6月8日10：00-11：30

报告地点：腾讯会议 405 342 918