报告人:李竞研究员
单位:中国科学院数学与系统科学研究院)
时间:2016年11月8日(星期二)上午10:00
地点:太白校区 非线性科学研究中心学术报告厅(312)
报告摘要:We study the large
time behavior of solutions to the initial and value problems with
large initial data for the compressible Navier-Stokes system describing the one-dimensio nalmo-
tion of a viscous heatconducting 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 method.
报告人简介:李竞,研究员,博士生导师,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。李竞研究员的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.”上,其中李竞研究员与合作者发表的
论文“Global well-posedness of classical solutions with large oscillations and
vacuum to the three-
dimensional isentropic compressible
Navier-Stokes equations”在国际顶尖偏微分方程期刊
“Com-munications on
Pure and Applied Mathematics”2012--2013年度发表论文的引用次数排名第一。
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