On the Extension of Onsager’s Conjecture for General Conservation Laws
Open Access Publications from the University of California

## On the Extension of Onsager’s Conjecture for General Conservation Laws

• Author(s): Bardos, Claude
• Gwiazda, Piotr
• Świerczewska-Gwiazda, Agnieszka
• Titi, Edriss S
• Wiedemann, Emil
• et al.

## Published Web Location

https://doi.org/10.1007/s00332-018-9496-4
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, $\alpha > 1/3$, concerning the regularity of the solutions, say in $C^{0,\alpha}$, that guarantees the conservation of the generalized entropy; regardless of the structure of the genuine nonlinearity in the underlying system.

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