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International Mathematics Research Notices (2000) 2000:455-465, doi:10.1155/S1073792800000258
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Copyright © 2000 Hindawi Publishing Corporation. All rights reserved.

The Euler equations and nonlocal conservative Riccati equations

Peter Constantin

We present an infinite-dimensional family of exact solutions of the incompressible threedimensional Euler equations. These solutions have infinite kinetic energy and blow up in finite time.


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