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

Dongho Chae

doi:10.3934/dcdss.2013.6.1139

Article Contents

2013, Volume 6, Issue 5: 1139-1150. Doi: 10.3934/dcdss.2013.6.1139

This issue Previous Article $L^p$-theory for the Navier-Stokes equations with pressure boundary conditions Next Article Time-averages of fast oscillatory systems

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

Dongho Chae^1,

1.
Department of Mathematics, Chung-Ang University, 84 Heukseok-ro, Dongjak-gu, Seoul

Received: December 2011

Revised: November 2012

Published: October 2013

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Abstract

In this paper we briefly review recent results mostly by the author related to the blow-up problem of the 3D Euler equations and the Liouville type results in the various equations of the fluids.

Keywords:

Mathematics Subject Classification: Primary: 76B03, 76D03; Secondary: 35Q35.

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