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Towards a sufficient criterion for collapse in 3D Euler equations | E.A. Kuznetsov
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26 Apr 2002 | Subject: | Fluid Dynamics | physics.flu-dyn | 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 $H^2({cal R}^3)$ for infinite time. | Source: | arXiv, physics/0204080 | Services: | Forum | Review | PDF | Favorites |
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