报告人：李竞教授（中科院数学与系统科学研究院）
时 间：2019年5月17日上午 10:00
地点：华南数学应用与交叉研究中心学术报告厅111
题目： Recent results on the compressible Navier-Stokes Equations with large initial data
摘要：
In this talk, we will report some recent results on the large-time behavior of solutions to the initial and initial boundary value problems with large initial data for the compressible Navier-Stokes system describing the one-dimensional motion of a viscous 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.
报告人简介：
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，李竞研究员与他人合作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.”。