Geodesic
Dissipative Euler flows and Onsager's conjecture
Journal of the European Mathematical Society, Tome 16 (2014) no. 7, pp. 1467-1505.

Voir la notice de l'article provenant de la source EMS Press

Building upon the techniques introduced in [15], for any θ101​ 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 θ31​. Our theorem is the first result in this direction.
DOI : 10.4171/jems/466
Classification : 35-XX, 76-XX
Keywords: Euler equations, Onsager’s conjecture, turbulence 
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     author = {Camillo De Lellis and L\'aszl\'o Sz\'ekelyhidi Jr.},
     title = {Dissipative {Euler} flows and {Onsager's} conjecture},
     journal = {Journal of the European Mathematical Society},
     pages = {1467--1505},
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Camillo De Lellis; László Székelyhidi Jr. Dissipative Euler flows and Onsager's conjecture. Journal of the European Mathematical Society, Tome 16 (2014) no. 7, pp. 1467-1505. doi : 10.4171/jems/466. http://geodesic.mathdoc.fr/articles/10.4171/jems/466/

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