报告题目：Vanishing capillarity limit of a generic compressible two-fluid model with common pressure
报 告 人：张映辉
工作单位：广西师范大学
报告时间：2024-6-30（星期天）16:30—18:30
会议地点：永利体育官网登录305
报告摘要：We investigate vanishing capillarity limit problem of a generic compressible two-fluid model with common pressure.By exploiting the intrinsic dissipation structure of the model and employing several key observations, we show that the unique smooth solution of the generic compressible two--fluid model exists for all time, and converges globally in time to the unique smooth solution of the compressible two-fluid Navier-Stokes equations, as the capillary coefficient tends to zero. Moreover, as a by-product, we also obtain the convergence rate estimates with respect to the capillary coefficient for any given positive time.
报告人简介：张映辉，教授，博士生导师，广西八桂青年拔尖人才，广西杰出青年科学基金和重点项目获得者，中国数学会理事，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、广西自然科学基金重点项目、博士后基金等多项省部级项目；在Math.Ann.、SIAM J. Math. Anal.、J. London Math. Soc.、Indiana U. Math. J.、Nonlinearity、中国科学(英文版)等期刊上发表学术论文40余篇；出版英文学术专著2部。
