Global well-posedness and large time behavior of strong solutions to a generic compressible two-fluid model

时间:2021-12-28 09:00

地点:腾讯会议 559 959 623

主讲人:吴国春

主讲人中文简介:

吴国春,华侨大学数学科学学院副教授。本硕博毕业于厦门大学,博士期间在纽约大学联合培养一年。2014年至2016年在中科院数学与系统科学研究院做博士后。博士毕业论文被评为福建省优秀博士毕业论文。2017年认定为泉州市第四层次人才和福建省C类人才。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。

活动内容摘要:

We investigate global existence and optimal decay rates of a generic non-conservative compressible two-fluid model with 

general constant viscosities and capillary coefficients. We show densities and velocities converge to their corresponding equilibrium states at  L2 rate (1+t)-3/4, which is the same as Navier-Stokes-Korteweg system. However, the fraction densities themselves converge to their equilibrium states at  L2 rate (1+t)-1/4, which are slow than their linear combination and densities.

主持人:吴志刚