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

报告时间：2023年9月17日 下午14：00

报告地点：南湖校区教学科研楼104

主办单位：科研处/数学与统计学院

报告人：王益

报告人简介：中国科学院数学与系统科学研究院研究员、博士生导师，应用数学研究所副所长，中国科学院大学岗位教授，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渐近行为，主要学术论文发表于Adv. Math, Arch. Ration. Mech. Anal., Comm. Math. Phys., J. Eur. Math. Soc.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。

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-estabished 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 progress on the time-asymptotic stability of generic Riemann solutions to the 1D compressible isentropic/full Navier-Stokes equations.