报告人：罗涛教授

        香港城市大学

报告题目1：On global strong solutions of physical vacuum free boundary problem of viscous gaseous stars

报告时间1：2017年01月07日下午15:00

报告题目2：Some recent developments of fluids interface problems

报告时间2：2017年01月07日下午16:20

报告地点：海韵数理楼661

摘要1: In this talk, I will present some recent results joint with Zhouping Xin and Huihui Zeng on the nonlinear asymptotic stability of the Lane-Emden solutions for spherically symmetric motions of viscous gaseous stars in the setting of vacuum free boundaries capturing the physical behavior that the sound speed is 1/2-Holder continuous across the vacuum boundary. The key issue is to establish the global-in-time regularity uniformly up to the vacuum boundary due to the difficulty caused by the degeneracy and singular behavior near the vacuum states. The main ingredients of the analysis consist of combinations of some new weighted nonlinear functionals and space-time weighted energy estimates. The constructions of these weighted nonlinear functionals and space-time weights depend crucially on the structures of the Lane-Emden solution, the balance of pressure and gravitation, and the dissipation

摘要2：In this talk, I will discuss some recent developments of fluids interface problems.

报告人简介：罗涛教授研究方向包括非线性偏微分方程、流体力学的数学理论、双曲守恒律、激波理论、变分原理及广义相对论。多次受邀在重要国际会议作大会报告和邀请报告，并受邀在哈佛大学、布朗大学、密歇根大学、英属哥伦比亚大学、伊利诺伊大学等世界著名院校作学术演讲。近年来研究论文主要发表在Comm. Pure App. Math.、 Comm. Math. Phys.、Arch. Rational. Mech. Anal.、Adv. Math.等国外一流刊物。

联系人：王焰金教授

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