Journal of Japan Society of Fluid Mechanics
Online ISSN : 2185-4912
Print ISSN : 0286-3154
ISSN-L : 0286-3154
On the mechanism of blow-up of solutions of 3 dimensional Euler equation
Akio FUKUYU
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1987 Volume 6 Issue 1 Pages 30-39

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Abstract
A phenomenological model is proposed which explain that in a three dimensional invisid flow field point singularities appear within a finite time where vorticity diverges. The contribution of a point singularity to kinetic energy of flow vanishes and that to enstropy diverges. The model is based on vortex filament approximation of flow. To support the basic idear of the model, deformation and stretching of a straight vortex filament due to mutual interaction with another straight vortex filament is simulated numerically.
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