报告人：李竞（中国科学院数学与系统科学研究院）

报告题目：Large-Time Behavior of Solutions to  1D Compressible  Navier-Stokes System in Unbounded Domains with Large Data

报告时间：2023年10月30日下午15：00-17:00

报告地点：雁山校区理四501报告厅

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.”、“Ann PDE”“ Comm. Math. Phys.”、“J. Math. Pures Appl. ” 和“ SIAM J. Math. Anal.”。

报告摘要：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.