带退化粘性和真空的等熵可压Navier-Stokes方程组经典解的最新希望

2022.10.10

投稿:龚惠英部分:理学院浏览次数:

活动信息

时间: 2022年10月13日 10:00

所在: 腾讯聚会

报告问题 (Title):Recent progress on classical solutions for compressible isentropic Navier-Stokes equations with degenerate viscosities and vacuum (带退化粘性和真空的等熵可压Navier-Stokes方程组经典解的最新希望)

报告人 (Speaker):朱圣国 教授(上海交通大学)

报告时间 (Time):2022年10月13日(周四) 10:00-11:00

报告所在 (Place):线上腾讯聚会(聚会 ID:706-612-145)

约请人(Inviter):赖耕

主理部分:理学院 数学系

报告摘要:We present some progress on the well-posedness of classical solutions with vacuum to the Cauchy problem of the multi-dimensional isentropic compressible Navier-Stokes equations with density dependent viscosities in a power law, and also mention some related open problems of high mathematical interest for this system. This talk is mainly based on joint works with Yachun Li (SJTU), Ronghua Pan (Georgia Tech) and Zhouping Xin (CUHK).

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