学术科研

学术科研

当前位置 :  首页 > 学术科研

陈建功大讲堂:Some recent results on compressible Navier-Stokes equations

来源 : 数学学院     作者 : 谢雪     浏览量:130     时间 : 2022-09-20

PDE系列报告

报告题目: Some recent results on compressible Navier-Stokes equations

报告人:李竞 研究员

报告时间:2022928日(周三)10:00-11:00

报告地点:腾讯会议:185 460 054


报告摘要: We investigate the barotropic compressible Navier-Stokes equations with slip boundary conditions in a three-dimensional (3D) simply connected bounded domain, whose smooth boundary has a finite number of two-dimensional connected components. For any adiabatic exponent bigger than one, after obtaining some new estimates on boundary integrals related to the slip boundary conditions, we prove that both the weak and classical solutions to the initial-boundary-value problem of this system exist globally in time provided the initial energy is suitably small. Moreover, the density has large oscillations and contains vacuum states. Finally, it is also shown that for the classical solutions, the oscillation of the density will grow unboundedly in the long run with an exponential rate provided vacuum appears (even at a point) initially.

报告人简介:李竞,研究员, 南昌大学&中科院数学与系统科学研究院,国家杰出青年基金获得者,主要研究方向为可压缩Navier-Stokes方程,李竞研究员证明了三维空间可压缩Navier-Stokes方程含真空的大震荡古典解的整体存在性等一系列结果,其研究工作发表在国际著名数学杂志“Comm. Pure Appl. Math.”、“Arch. Ration. Mech. Anal.”、“ Comm. Math. Phys.”、“Ann PDE”“J. Math. Pures Appl. 和“ SIAM J. Math. Anal.”。


联系我们

地址:浙江省杭州市余杭塘路2318号勤园23号楼 
电话:0571-28867633 邮编:311121
版权所有 © 2021 杭州师范大学数学学院 
公安备案号:33011002011919  浙ICP备11056902号-1