Cauchy problem for the Navier-Stokes equations with temperature-dependent transport coefficients and large data

发布时间：2026-01-16 来源：william威廉亚洲浏览次数：

Speaker:	董文超	DateTime:	2026年1月20日（周二）上午9:30--10:30
Brief Introduction to Speaker: 董文超，广西大学。		Place:	国交2号楼315会议室
Abstract:In this talk, we will investigate the Cauchy problem for the one-dimensional compressible Navier-Stokes equations with temperature-dependent transport coefficients and large initial data. Specifically, we will focus on the case where the viscosity coefficient is characterized by $\mu=\theta^a$ and the heat conductivity coefficient is given by $\kappa=\theta^b$, with $a$ and $b$ being non-negative. Our main result will establish the existence and asymptotic stability of a global strong solution provided that the initial data belongs to the $H^2\times H^1\times H^1$-space and $a$ is sufficiently small.