The Euler Equations and Non-Local Conservative Riccati Equations
Chaotic Dynamics
2007-05-23 v1 Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.nlin/0004019,
title = {The Euler Equations and Non-Local Conservative Riccati Equations},
author = {Peter Constantin},
journal= {arXiv preprint arXiv:nlin/0004019},
year = {2007}
}
Comments
International Mathematics Research Notices, volume 9, 2000 (in press)