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学术报告会:Stability of Riemann solutions to the compressible Navier-Stokes equations

2023年05月18日 09:24  点击:[]


报告题目:Stability of Riemann solutions to the compressible Navier-Stokes equations

  人:      中国科学院数学与系统科学研究院研究员

报告时间:2023525上午10:00

腾讯会议442 515 108

 

摘要: Since 1980s, the time-asymptotic stability of single wave pattern (viscous shock wave, rarefaction wave and viscous contact wave) to 1D compressible Navier-Stokes equations are well-established and each wave pattern has quite different stability frameworks. Due to the incompatibility of those different stability frameworks, it is still open to prove the time-asymptotic stability of generic Riemann solutions, in particular, consisting of different multiple wave patterns, to compressible Navier-Stokes equations. The talk is concerned with our recent developments to the time-asymptotic stability of generic Riemann solutions to the 1D compressible Navier-Stokes equations (including isentropic and full cases).

 

个人简介:

王益,中国科学院数学与系统科学研究院研究员、博士生导师,中国科学院大学教授,应用数学研究所副所长,主要从事非线性偏微分方程的理论研究,研究兴趣为守恒律方程组和流体力学方程组的相关数学分析,包括解的适定性、长时间稳定性和粘性消失极限等,主要学术论文发表于Adv. Math, Arch. Ration. Mech. Anal., Comm. Math. Phys., J. Func. Anal.SIAM J. Math. Anal.等国际重要刊物。曾获国家自然科学基金委员会优秀青年基金的资助,并入选国家高层次人才计划。


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