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Global well-posedness and large time behavior of the viscous liquid-gas two-phase flow model in $\mathbb R^3$

2019/05/06 10:10  点击:[]

报告人:张映辉 (广西师范大学)


日  期:2019年5月11


时  间:20:00


地  点:理科楼 LA106


摘  要:We investigate the Cauchy problem of the viscous liquid-gas two-phase flow model in $\mathbb R^3$. Under the assumption that the initial data is close to the constant equilibrium state in the framework of Sobolev space $H^2(\mathbbR^3)$, the Cauchy problem is shown to be globally well-posed by an ingenious energy method. If additionally, for $1\leq p<\frac{6}{5}$, $L^p$-norm of the initial perturbation is bounded, the optimal convergence rates of the solutions in $L^q$-norm with $2\leq q\leq 6$ and optimal convergence rates of their spatial derivatives in $L^2$-norm are also obtained by combining spectral analysis with energy methods.


报告人简介张映辉,博士,教授,硕士研究生导师,广西师范大学B类漓江学者,美国《数学评论》评论员,现任广西师范大学数学与统计学院院长助理。主要研究方向为流体力学中的偏微分方程,主持国家自然科学基金项目2项,省部级科研项目8项;主要研究方向为流体力学中的偏微分方程;已在Indiana Univ. Math. J.,J. Differ. Equations.,P. Roy. Soc. Edinb. A,J. Math. Phys.,中国科学(英文版)等国内外权威期刊发表论文近40篇,SCI收录30篇;获省自然科学奖和市科技进步奖各1项。


学院联系人:穆春来 王华桥


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