Onsager's conjecture in bounded domains for the conservation of entropy and other companion laws
classification
🧮 math.AP
keywords
lawsboundedcompanionconservationdomainsentropyotherapproaches
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.