The Euler Equations and Non-Local Conservative Riccati Equations

Details The Euler Equations and Non-Local Conservative Riccati Equations The Euler Equations and Non-Local Conservative Riccati Equations

2000-04-11

arxiv.org/abs/nlin/0004019v1

Nonlinear Sciences

Chaotic Dynamics

International Mathematics Research Notices, volume 9, 2000 (in press)

Scientific paper

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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