Continuous dissipative Euler flows and a conjecture of Onsager

@inproceedings{Lellis2012ContinuousDE,
  title={Continuous dissipative Euler flows and a conjecture of Onsager},
  author={Camillo De Lellis},
  year={2012}
}
It is known since the pioneering works of Scheffer and Shnirelman that there are nontrivial distributional solutions to the Euler equations which are compactly supported in space and time. Obviously these solutions do not respect the classical conservation law for the total kinetic energy and they are therefore very irregular. In recent joint works we have proved the existence of continuous and even Holder continuous solutions which dissipate the kinetic energy. Our theorem might be regarded as… 
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