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

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

报告人：王益中国科学院数学与系统科学研究院研究员

报告时间：2023年5月25日上午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.和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。