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arXiv · 1806.02483

On the Extension of Onsager's Conjecture for General Conservation Laws

Claude Bardos·Piotr Gwiazda·Agnieszka Świerczewska-Gwiazda·Edriss S. Titi·Emil Wiedemann
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Abstract

The aim of this work is to extend and prove the Onsager conjecture for a class of conservation laws that possess generalized entropy. One of the main findings of this work is the "universality" of the Onsager exponent, $α> 1/3$, concerning the regularity of the solutions, say in $C^{0,α}$, that guarantees the conservation of the generalized entropy; regardless of the structure of the genuine nonlinearity in the underlying system.

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Claude Bardos, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda, Edriss S. Titi, Emil Wiedemann. 2018-06-07. On the Extension of Onsager's Conjecture for General Conservation Laws. https://doi.org/10.1007/s00332-018-9496-4

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