The Euler Equations and Non-Local Conservative Riccati Equations

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We present an infinite dimensional family of of exact solutions of the incompressible three-dimensional Euler equations. These solutions, proposed by Gibbon and Ohkitani, have infinite kinetic energy and blow up in finite time.
International Mathematics Research Notices, volume 9, 2000 (in press)

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Chaotic Dynamics, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/79778

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0004019
 http://arxiv.org/abs/nlin/0004019

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arXiv