报告人：廖勇凯（中国地质大学（武汉））

邀请人：雷远杰

报告时间：2021年5月24日（星期一）16:00-17:30

报告地点：科技楼（南楼）713室

报告题目：Nonequilibrium-diffusion limit of the compressible Euler-P1 approximation model arising from radiation hydrodynamics

报告摘要：In this talk, 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.

报告人简介：廖勇凯，中国地质大学（武汉）数学与物理学院副教授。主要研究领域为非线性偏微分方程及辐射流体力学。目前已在《SIAM Journal on Mathematical Analysis》，《Mathematical Models and Method in Applied Sciences》，《Journal of Differential Equations》等学术期刊发表SCI学术论文十余篇。