Optimal decay rates on compressible Navier-Stokes equations with degenerate viscosity and vacuum
报 告 人:: 朱长江
报告地点:: 数学与统计学院6楼大应用数学实验室
报告时间:: 2019年01月12日星期六17:00-18:00
报告简介:

In this paper, we consider the large time behavior of the weak solution to the free boundary problem for one-dimensional isentropic compressible Navier-Stokes equations with degenerate viscosity and vacuum. Under appropriate smallness conditions on the initial data (initial energy), we give the optimal decay rate of the density function along with the behavior of it near the interfaces is studied. In the meanwhile, we obtain also sharper decay rates for the norms in terms of the velocity function. The proof is based on the standard line method. The key is to establish some new global-in-time weighted estimates (both in time and space) uniformly up to the vacuum boundary, which ensures the uniform convergence of the approximate solutions.

This is a joint work with Guangyi Hong.

举办单位:数学与统计学院 
发 布 人:吴双 发布时间: 2019-01-04
主讲人简介:
朱长江,华南理工大学教授。博士生导师,数学学院院长。国际知名偏微分方程专家。国家杰出青年基金获得者,国家万人计划名师。东北师范大学大应用数学实验室学术委员会委员。