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The Euler Equations and Non-Local Conservative Riccati Equations

Peter Constantin
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Abstract

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.

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Peter Constantin. 2000-04-11. The Euler Equations and Non-Local Conservative Riccati Equations. https://arxiv.org/abs/nlin/0004019

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