Nonequilibrium-diffusion limit of the compressible Euler-P1 approximation model arising from radiation hydrodynamics
报告题目(Title)：Nonequilibrium-diffusion limit of the compressible Euler-P1 approximation model arising from radiation hydrodynamics
报告人(Speaker)：琚强昌 研究员，北京应用物理与计算数学研究所
地点(Place)：后主楼1129.
时间(Time)：6月28日上午9:00—9:40,
邀请人(Inviter)：许孝精
报告摘要
We first show the nonequilibrium-diffusion limit of the compressible Euler-P1 approximation model arising in radiation hydrodynamics as the Mach number tends to zero when the initial data is well-prepared. In particular, the effect of the large temperature variation upon the limit is taken into account. The model leads to a singular problem which fails to fall into the category of the classical theory of singular limits for quasilinear hyperbolic equations. By introducing an appropriate normed space of solutions and exploiting the structure of the system, we establish the uniform local existence of smooth solutions and the convergence of the model to the incompressible nonhomogeneous Euler system coupled with a diffusion equation. Moreover, we also prove the nonequilibrium-diffusion limit of the compressible Euler-P1 approximation model when the Mach number is fixed.
