报告主题：一阶拟线性双曲系统的局部和整体抛物极限

报告人：彭跃军 教授 （Université Clermont Auvergne / CNRS）

报告时间：2018年6月3日（周日）9:00

报告所在：校本部E408

约请人：盛万成

主理部分：理学院数学系

报告摘要：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. 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.

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