Towards a sufficient criterion for collapse in 3D Euler equations
Fluid Dynamics
2009-11-07 v1
Abstract
A sufficient integral criterion for a blow-up solution of the Hopf equations (the Euler equations with zero pressure) is found. This criterion shows that a certain positive integral quantity blows up in a finite time under specific initial conditions. Blow-up of this quantity means that solution of the Hopf equation in 3D can not be continued in the Sobolev space for infinite time.
Cite
@article{arxiv.physics/0204080,
title = {Towards a sufficient criterion for collapse in 3D Euler equations},
author = {E. A. Kuznetsov},
journal= {arXiv preprint arXiv:physics/0204080},
year = {2009}
}