Free boundary regularity of vacuum states for incompressible viscous flows in unbounded domains

作者:发布时间:2024-01-08浏览次数:10

报告人:谈进 博士(Cergy-Paris University)
报告时间:2024年1月12日(周五)下午14:00-15:00
报告地点:理A110
报告摘要:In a well-known book of P.-L. Lions, global existence results for finite energy weak solutions of the inhomogeneous incompressible Navier-Stokes equations (INS) were proved without assuming positive lower bounds on the initial density, hence allowing for vacuum. Uniqueness, regularity of Lions’ weak solutions and persistence of boundary regularity of density patches were listed as open problems. In the case where the fluid domain is either bounded or the torus, Lions’problem has been understood
报告人简介:

谈进,博士,2021年9月博士毕业于法国巴黎东大(UPEC),2021年9月至今在Cergy Paris University从事博士后研究工作,研究兴趣为流体动力学和磁流体动力学中的偏微分方程,其研究受到多项资助(包括 Post-doc funding from project CY Nonlinear Analysis、 INSMI 、ANR project BORDS等),研究成果接收发表在CMP,CPDE,M3AS,JDE、JMFM、 Commun. Contemp. Math.等。