报告题目：Concentration Phenomenon of Weak Solutions for Compressible Isentropic Navier-Stokes Equations in Dimensions Three

报告时间：2021-06-16  16:00 - 17:00

报告人：胡先鹏 副教授  香港城市大学

会议地点：腾讯线上会议

ID：688 245 768 （密码 0616）

主办单位：国家天元数学中部中心  武汉大学数学与统计学院

Abstract: We will discuss the concentration phenomenon of weak solutions for isentropic compressible Navier-Stokes equations. Except a closed set S^c with zero parabolic Hausdorff measure, T^γ(3) (S^c)=0, the weak limit (ρ,u) of approximate solutions is a renormalized weak solution with finite energy of three dimensional compressible Navier-Stokes equations for γ∈(6/5,3/2] as constructed by Lions and Feireisl et al in the Leray sense. The key novelty is the improved integrability of pressure by localization, which is based on the faster decay of the gradient of velocity and the higher integrability of the Riesz potentials of both density and momentum.