Special DG - MP - PDE Seminar: Dongho Chae (Sungkyunkwan University, Korea)

  • Date: 07/25/2011
  • Time: 14:00
Dongho Chae  (Sungkyunkwan University, Korea)

University of British Columbia


On the blow-up problem for the Euler equations and the Liouville type results
for the fluid equations


In the first part of the talk we discuss some new observations on the blow-up
problem in the 3D Euler equations. We consider the scenarios of  the
self-similar blow-ups and the axisymmetric blow-up. For the self-similar blow-up
we prove a Liouville type theorem for the self-similar Euler equations. For the
axisymmetric case we show that some uniformity condition for the pressure is not
consistent with the global regularity. In the second part we present Liouville
type theorems for the steady Navier-Stokes equations for both of the
incompressible and the compressible cases. In the time dependent case we prove
that some pressure integrals have  definite sign unless the solution is


Young-Heon Kim

Other Information: