报告题目：Global existence of finite energy weak solution to the Compressible Euler Equations with spherical Symmetry and Large Initial Data

报 告 人：王勇 副研究员，中科院数学与系统科学研究院

报告摘要：For far field density   ，various evidences indicate that the spherically symmetric solutions of the compressible Euler equations may blow up near the origin at certain time. In this paper, we established the global existence of finite energy weak solution by vanishing viscosity limit of weak solutions of the compressible Navier-Stokes equations with spherical symmetry and large initial data in R^N(N≥2) and . This indicates that concentration is not formed in the vanishing physical viscosity limit, even though the density may blow up at certain time.

报告人简介：王勇，2012年毕业于中科院数学与系统科学研究院，现任中科院数学与系统科学研究院副研究员。主要研究双曲守恒律、可压缩Navier-Stokes方程、Boltzmann方程的等相关问题的适定性和渐近行为。发表SCI论文20余篇，主要结果发表在Advances in Mathematics， Archive for Rational Mechanics and Analysis、SIAM Journal on Mathematical Analysis等国际著名刊物上，主持国家自然科学基金一项。

报告邀请人：于慧敏

报告时间：2019年12月1日（周日）15:00-16:00

报告地点：长清湖校区文渊楼B区533

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