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报告题目：Local and global parabolic limits for first-order quasilinear hyperbolic systems

报  告  人：彭跃军  教授(法国克莱蒙奥佛涅大学)

报告时间：2019年5月15日（星期三）上午9:00-10:00                

报告地点：4号楼4318室

邀  请  人：朱长江 教授、温焕尧 教授

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数学学院

2019年5月6日

报告摘要：

Consider the Cauchy problem for a multidimensional first-order quasilinear hyperbolic system with a relaxation term and a parameter standing 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 asymptotic limit of the system as the relaxation time tends to zero. Under stability conditions, this limit is justified for smooth solutions, locally in a uniform time interval and globally in time when initial data are close to constant equilibrium states.