Building upon the techniques introduced in [15], for any theta < 1/10 we construct periodic weak solutions of the incompressible Euler equations which dissipate the total kinetic energy and are Holder-continuous with exponent theta. A famous conjecture of Onsager states the existence of such dissipative solutions with any Holder exponent theta < 1/3. Our theorem is the first result in this direction.
Dissipative Euler flows and Onsager's conjecture
De Lellis, C.;
2014-01-01
Abstract
Building upon the techniques introduced in [15], for any theta < 1/10 we construct periodic weak solutions of the incompressible Euler equations which dissipate the total kinetic energy and are Holder-continuous with exponent theta. A famous conjecture of Onsager states the existence of such dissipative solutions with any Holder exponent theta < 1/3. Our theorem is the first result in this direction.File in questo prodotto:
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