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Paper detail

Dissipative Euler Flows and Onsager's Conjecture

For any θ<1/10 we construct periodic weak solutions of the incompressible Euler equations which dissipate the total kinetic energy and are Hölder-continuous with exponent θ. A famous conjecture of Onsager states the existence of such dissipative solutions with any Hölder exponent θ<1/3. Our theorem is the first result in this direction.

preprint2012arXivOpen access
Camillo De LellisLászló Székelyhidi Jr
math.AP
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Camillo De LellisLászló Székelyhidi Jr

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