20241117 张映辉 Global well--posedness and large time behavior of classical solutions to a generic compressible two--fluid model

报告题目: Global well--posedness and large time behavior of classical solutions to a generic compressible two--fluid model

报告人：张映辉教授 (广西师范大学)

时间：  2024年11月17日, 10:00-11:00 (上午)

地点: 数学学院203

邀请人：周建丰

报告摘要:  We investigate a generic compressible two--fluid model with common pressure ($P^+=P^-$) in $\mathbb{R}^3$. By exploiting the dissipation structure of themodel and making full use of several key observations, we prove global existence and large time behavior of classical solutions to the 3D compressible two--fluid model with common pressure. To the best of our knowledge, we establish the first result on the global existence of classical solutions to the 3D compressible two--fluid model with common pressure and without capillary effects.

报告人简介：张映辉，教授，博士生导师，现任广西师范大学数学与统计学院院长。主要研究方向为偏微分方程理论及其应用。主持国家自然科学基金面上项目、青年项目和天元项目各1项，广西杰出青年科学基金等多项省部级课题；在Math. Ann.、SIAM J. Math. Anal.、J. London Math. Soc.、Indiana U. Math. J.、Nonlinearity、Physica D等期刊上发表学术论文40余篇；出版英文学术专著2部；获省自然科学奖和市科技进步奖各1项, 获威立（Wiley）出版社2021-2022年度论文最高引用（率）奖（Top Cited Article 2021-2022）。