# 【中科院数学与系统科学研究院】Global existence of finite energy weak solution to the compressible Euler Equations with spherical symmetry and large initial data

2019年07月04日 14:38  点击：[]

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： 副研究员

报告时间：201978日（星期）上午900-1000

报告地点：创新园大厦A1101

校内联系人：王文栋   联系电话：84708351-8139

摘要: For far field density $\bar{\rho}>0$, 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 $\mathbb{R}^N (N\geq2)$ and $\bar{\rho}>0$. This indicates that concentration is not formed in the vanishing physical viscosity limit, even though the density may blow up at certain time.

报告人介绍：

王勇，现为中科院数学与系统科学研究院副研究员。主要研究非线性双曲守恒律、可压缩Navier-Stokes方程、Boltzmann方程等方程的适定性和渐近行为。主要论文发表在Adv. MathArch. Ration. Mech. Anal.SIAM J. Math. Anal.等国际著名刊物上。

数学科学学院

2019年7月4日

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