Towards a sufficient criterion for collapse in 3D Euler equations

[摘要] 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 cannot be continued in the Sobolev space H-2 (R-3) for infinite time. (C) 2003 Elsevier B.V. All rights reserved.

[发布日期] 2003-10-01

[效力级别]  Proceedings Paper

[关键词] 3D Euler equations blow-up solution;Sobolev space