About Speakers Schedule Program Contact Us INS
分析与微分方程研讨会

Low Mach number limit of Navier-Stokes equations with large temperature variations in bounded domains

Speaker

琚强昌 , 北京应用物理与计算数学研究所

Time

22 Nov, 14:15 - 15:00

Abstract

The low Mach number limit of full compressible Navier-Stokes equations with large temperature variations is verified rigorously in a three-dimensional bounded domain. Weighted uniform estimates of the solutions are derived delicately in a time interval which is independent of the Mach number, in particular, for the high-order derivatives, when the initial data are well prepared only in the sense of L2-norm.The effects of large temperature variations and solid boundaries create some essential difficulties in showing the uniform estimates. This is a recent joint work with Prof. Ou, Yaobin from Renmin University.