On the Extension of Onsager’s Conjecture for General Conservation Laws
- Author(s): Bardos, C;
- Gwiazda, P;
- Świerczewska-Gwiazda, A;
- Titi, ES;
- Wiedemann, E
- et al.
Published Web Locationhttps://doi.org/10.1007/s00332-018-9496-4
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 ,α , that guarantees the conservation of the generalized entropy, regardless of the structure of the genuine nonlinearity in the underlying system.