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Seminar第1751期 Asymptotic stability of viscous shock profiles for the 1D compressible Navier–Stokes -Korteweg system with boundary effect

创建日期 2019/1/8 福平   浏览次数  19 返回    
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报告主题:Asymptotic stability of viscous shock profiles for the 1D compressible Navier–Stokes -Korteweg system with boundary effect
报告人:黎野平 教授 (华东理工大学)
报告时间:2019年1月10日(周四)13:30
报告地点:校本部E421
邀请人:朱佩成教授

报告摘要:In this talk, we present the time-asymptotic behavior of strong solutions to an initial-boundary value problem of the compressible Navier-Stokes-Korteweg system on the half line R^+. The asymptotic profile of the problem is shown to be a shifted viscous shock profile, which is suitably away from the boundary. Moreover, we prove that if the initial data around the shifted viscous shock profile and the strength of the shifted viscous shock profile are sufficiently small, then the problem has a unique global strong solution, which tends to the shifted viscous shock profile as time goes to infinity.

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