报告人:张映辉 (广西师范大学)

日  期:2019年5月11日

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，现任广西师范大学太阳成集团tyc539经理助理。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。

公司联系人:穆春来 王华桥

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