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20 April 2024
 
  » arxiv » physics/0204080

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Towards a sufficient criterion for collapse in 3D Euler equations
E.A. Kuznetsov ;
Date 26 Apr 2002
Subject Fluid Dynamics | physics.flu-dyn
AbstractA 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
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