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

作者: 时间:2021-06-16 点击数:


题目:Global existence and asymptotic behavior for the classical solutions to a non-conservative compressible two-phase fluid model in a bounded domain

报告摘要: In this paper, 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.

主讲人:吴国春副教授

报告时间:2021.6.18下午

报告地点:综合楼810会议室

个人简介:吴国春,博士,现为华侨大学数学科学学院副教授。2008年于厦门大学获得理学学士学位,2014年于厦门大学获理学博士学位(硕博连读)。20129月至20138月在纽约大学联合培养一年。20147月至20166月在中国科学院数学与系统科学研究院做博士后研究。主要研究方向为流体力学中的非线性偏微分方程,主持国家自然科学基金青年基金和省自然科学基金青年基金各一项,近年来研究论文主要发表在JLMSSIAMJFAJDEP ROY SOC EDINB A等杂志。

 

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