作者: 时间:2022-10-28 点击数:

讲座题目: One-dimensional viscous and heat-conducting ionized gas with density-dependent viscosity

讲座摘要: Dynamics of the macroscopic motion of a compressible, viscous and heat-conducting, one-dimensional monatomic ionized gas can be described by a compressible Navier-Stokes type system. The ionization effect in the gas makes it hard to deduce the dissipative estimates on the first-order spatial derivative of the bulk velocity and the absolute temperature from the basic energy estimates obtained through the normalized entropy. As a consequence, it makes the construction of its global large solutions and the study of its large time behavior more difficult.

By making full use of the intrinsic structure of equations, we study the global existence and large time behavior of solutions to the initial boundary value problems of one-dimensional, compressible Navier-Stokes system for a viscous and heat-conducting ionized gas with density-dependent viscosity. The key ingredient in our analysis is to deduce the uniform-in-time positive lower and upper bounds on the specific volume and the absolute temperature.



嘉宾简介廖勇凯,中国地质大学(武汉)数学与物理学院特聘教授。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》,《Journal of Differential EquationsMathematical Models and Method in Applied Sciences》等学术期刊发表SCI学术论文十余篇。先后主持中国博士后基金(2018博士后创新人才支持计划)、国家自然科学基金青年基金、湖北省自然科学基金国防科技重点实验室基金。





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