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arXiv · 1902.07120

Onsager's conjecture in bounded domains for the conservation of entropy and other companion laws

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

We show that weak solutions of general conservation laws in bounded domains conserve their generalized entropy, and other respective companion laws, if they possess a certain fractional differentiability of order 1/3 in the interior of the domain, and if the normal component of the corresponding fluxes tend to zero as one approaches the boundary. This extends various recent results of the authors.

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Claude Bardos, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda, Edriss S. Titi, Emil Wiedemann. 2019-02-19. Onsager's conjecture in bounded domains for the conservation of entropy and other companion laws. https://arxiv.org/abs/1902.07120

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