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Singularity formation in three-dimensional inviscid flow
Authors:Akio Fukuyu and Tsutomu Arai
Affiliation:

aDepartment of Mathematical Sciences, Tokyo Denki University, Hatoyama-machi, Hiki-gun, Saitama 350-03, Japan

Abstract:A phenomenological model to explain finite time singularity formation in a three-dimensional inviscid vorticity field is given. The thin filament approximation for a vorticity field is used, and the model is based on the three-dimensional interaction of two approximately straight vortex filaments. It is shown that the model has a solution which exhibits finite time singularity formation in a vorticity field.
Keywords:
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