Hausdorff Dimension of Concentration for Isentropic Compressible Navier-Stokes Equations

Dr Xiangpeng Hu
Date & Time
26 Sep 2016 (Mon) | 04:30 PM - 05:30 PM
Venue
B6605, AC1

ABSTRACT

Abstract

In this talk, we will discuss the concentration phenomenon of the kinetic energy p|u|² ,associated to isentropic compressible Navier-Stokes equations, in \mathbb{R}n with n=2,3 and the adiabatic constant \gamma∈[1,n/2]. Expect a space-time set with Hasusdorff dimension less than to equal to Γ (n) +1 with

Γ (n)=max{\gamma(n),n-(n\gamma/\gamma(n)+1)} and \gamma(n)=(n(n-1)-n\gamma/n-\gamma),

no concentration phenomenon occurs.

[Light refreshments will be served outside the venue at 4:00-4:30 pm. Please come and join us.]