报告题目：Global convergence rate from hyperbolic systems to parabolic systems

报告时间：2024年5月31日 13:00

报告地点：南湖校区老图书馆四楼会议室

主办单位：数学与统计学院

报告人： 彭跃军

报告人简介：法国克莱蒙奥佛涅大学特级教授。本科和硕士均毕业于复旦大学数学系，博士毕业于法国里昂第一大学，曾任同济大学助教、法国奥尔良和波尔多第一大学讲师、法国克莱蒙菲朗第二大学教授。彭跃军教授长期从事非线性偏微分方程及其应用方面的研究工作，尤其对拟线性双曲型方程组、空气动力学和激波、等离子体和半导体数学模型进行了深入研究，并取得了显著的科研成果及国际学术声誉，已在Ann. Inst. H. Poincaré Anal. Non Linéaire, Communication PDE, Inverse Problems, J. Math. Pures Appl., Nonlinearity, SIAM J. Math. Analysis等国际权威期刊发表90多篇学术论文。

报告摘要：It was proved that smooth solutions of partially dissipative hyperbolic systems converge to those of parabolic systems in the zero-relaxation limit with a slow time scaling. In a finite time interval, the convergence rate was established by asymptotic expansion methods. In this talk, I will present recent results on the global-in-time convergence rate. This concerns the system of balance laws in one space dimension, Euler-Maxwell systems and Euler-Poisson systems in several space dimensions. The stream function techniques and energy methods will be discussed.