学术报告：Global existence and asymptotic behavior for the classical solutions to a non-conservative compressible two-phase fluid model in a bounded domain
发布时间：2021-07-06 浏览次数：380
报告人：吴国春
报告时间：2021年7月9日上午10:00-11:30
报告地点：育才理科综合楼103
报告题目：Global existence and asymptotic behavior for the classical solutions to a non-conservative compressible two-phase fluid model in a bounded domain
报告人简介：吴国春，华侨大学副教授，硕士生导师，主持国家自然科学基金青年项目1项，主要研究方向为流体力学中的非线性偏微分方程，近年来研究论文主要发表在JLMS、SIAM、JFA、JDE、P ROY SOC EDINB A等。
报告摘要:In this topic, we investigate the global existence and uniqueness of classical solutions to the initial boundary value problem for a non-conservative compressible two-phase fluid model in a bounded domain with slip boundary. The global existence and uniqueness of classical solution are obtained when the initial data is near its equilibrium in $H^4(\Omega)$ by delicate energy methods. By a product, we also show the exponential convergence rates of the pressure and velocity in $H^3(\Omega)$. The key part of the paper is to capture the dissipative feature of solutions.