题  目： Local and global parabolic limits of first-order quasi-linear hyperbolic systems

报告人：彭跃军 教授   （法国 Clermont Auvergne 大学）

时  间: 2018年6月1日 (周五)  10:30-11:30

地  点:蒙民伟楼1105室

摘  要：Consider the Cauchy problem for a multidimensional first-order quasilinear hyperbolic Consider the Cauchy problem for a multidimensional first-order quasilinear hyperbolic system with a relaxation term of and a parameter standing often for the relaxation time. This kind of systems include a large number of physical models such as the Euler equations with damping, the Euler-Maxwell system for plasma and the M1-model in the radiative transfer theory etc. We are interested in the relaxation limit of the system as the relaxation time tends to zero.
In this talk I will describe the formal derivation of parabolic equations from the system in a slow time scaling. Under stability conditions, the justification of the limit is shown for smooth solutions,locally in a uniform time interval and globally in time when initial data are close to constant equilibrium states.system with a relaxation term of and a parameter standing often for the relaxation time. This kind of systems include a large number of physical models such as the Euler equations with damping, the Euler-Maxwell system for plasma and the M1-model in the radiative transfer theory etc. We are interested in the relaxation limit of the system as the relaxation time tends to zero.
In this talk I will describe the formal derivation of parabolic equations from the system in a slow time scaling. Under stability conditions, the justification of the limit is shown for smooth solutions,locally in a uniform time interval and globally in time when initial data are close to constant equilibrium states.

邀请人：栗付才 老师