Onsager's conjecture in bounded domains for the conservation of entropy and other companion laws.
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Bardos, C
Gwiazda, P https://orcid.org/0000-0002-6636-1111
Świerczewska-Gwiazda, A https://orcid.org/0000-0001-8033-5078
Titi, ES
Wiedemann, E
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 one-third 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.
Description
Keywords
Onsager's conjecture, conservation laws, conservation of entropy
Journal Title
Proc Math Phys Eng Sci
Conference Name
Journal ISSN
1364-5021
1471-2946
1471-2946
Volume Title
475
Publisher
The Royal Society
Publisher DOI
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All rights reserved