报告题目:1维可压缩Navier-Stokes方程的数学分析

报告专家:李竞 （中科院数学与系统科学研究院研究员）

报告时间: 2019年9月12日（周四）下午14:00-15:30

报告地点: 东校区8教400

欢迎广大师生光临！

摘要：In this talk, we will report some recent results on the large-time behavior of solutionsto the initial and initial boundary value problems with  large initial data for the compressible Navier-Stokes system  describing the  one-dimensional motion of aviscous heat-conducting perfect polytropic  gas in unbounded domains.

The temperature is  proved to be  bounded  from below and above independently of both time and space. Moreover, it is shown that the global solution is    asymptotically stable as time tends to infinity.Note that the  initial data can be arbitrarily large.This result is proved by using elementary energy methods.

专家简介：李竞 研究员, 中科院数学与系统科学研究院，国家杰出青年基金获得者，主要研究方向为可压缩Navier-Stokes方程，李竞研究员证明了三维空间可压缩Navier-Stokes方程含真空的大震荡古典解的整体存在性等一系列重要结果，其研究工作发表在国际著名数学杂志“Comm. Pure Appl. Math.”、“Arch. Ration. Mech. Anal.”、“ Comm. Math. Phys.”、“J. Math. Pures Appl. ” 和“ SIAM J. Math. Anal.”。