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Fractal-like singularities for an inviscid one-dimensional model of fluid jets

Published online by Cambridge University Press:  01 February 2000

M. A. FONTELOS  and
J. J. L. VELÁZQUEZ
M. A. FONTELOS
Affiliation:
Institute for Mathematics and its Applications, University of Minnesota, 514 Vincent Hall, 206 Church Street S. E., Minneapolis, Minnesota 55455-0436, USA
J. J. L. VELÁZQUEZ
Affiliation:
Departamento de Matemática Aplicada, Facultad de Matemáticas, Universidad Complutense, Madrid 28040, Spain
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Abstract

In this paper we describe solutions of a one-dimensional model of inviscid fluid jets that develop finite time singularities in a fractal-like manner. We also discuss the extreme sensitivity of the solutions of this problem with respect to small perturbations of the initial data.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 11 , Issue 1 , February 2000 , pp. 29 - 60
Copyright
2000 Cambridge University Press

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