学术报告报告题目：Uniform regularity and vanishing dissipation limit for the full
compressible Navier Stokes system in 3-D bounded domain
报 告 人：王勇博士（中国科学院）
报告时间：2015年10月30日 （周五） 上午10:00-11:00
报告地点：四号楼4318室
欢迎广大师生前往!
数学学院
2015年10月26日
报告摘要：
In the present paper, we study the uniform regularity and vanishing dissipation limit for the full compressible Navier-Stokes system whose viscosity and heat conductivity are allowed to vanish at different order. The problem is studied in a 3-D bounded domain with Navier-slip type boundary conditions. It is shown that there exists a unique strong solution to the full compressible Navier-Stokes system with the boundary conditions in a finite time interval which is independent of the viscosity and heat conductivity. The solution is uniform bounded in $W^{1,/infty}$ and a conormal Sobolev space. Based on such uniform estimates, we prove the convergence of the solutions of the full compressible Navier-Stokes to the corresponding solutions of the full compressible Euler system in $L^/infty(0,T;L^2)$,$L^/infty(0,T;H^1)$ and $L^/infty([0,T]/times/Omega)$ with a rate of convergence.