主讲人：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.”。
报告题目(I)：Large-Time Behavior of Solutions to One-Dimensional Compressible Navier-Stokes System in Unbounded Domains with Large 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.
时 间：2018-9-18下午3:00-4:30
地 点：数学与信息科学学院3401教室(本科生和研究生)
报告题目(II)：On wellposedness of compressible Navier-Stokes equations
摘要：We concern the global well-posedness and large time asymptotic behavior of strong and classical solutions to the Cauchy problem of the Navier-Stokes equations for viscous compressible barotropic flows in two or three spatial dimensions with vacuum as far field density. For strong and classical solutions, some a priori decay with rates (in large time) for both the pressure and the spatial gradient of the velocity field are obtained provided that the initial total energy is suitably small.
时 间：2018-9-18下午4:30-5:30
地 点：数学与信息科学学院3401教室(老师及研究生)
报告题目（III）: Serrin-type criterion and largetime behavior for full compressible Navier-Stokes system
摘要：In this talk, we present some recent results concerning the Serrin-type blowup criterion for 3D full compressible Navier-Stokes system which states that the strong or smooth solution exists globally if the density is bounded from above and the velocity satisfies Serrin’s condition.
时 间：2018-9-20上午8:30-9:30
地 点：数学与信息科学学院408教室(研究生)
