Onsager's conjecture in bounded domains for the conservation of entropy and other companion laws
Bardos C, Gwiazda P, Swierczewska-Gwiazda A, Titi ES, Wiedemann E (2019)
Publication Type: Journal article
Publication year: 2019
Journal
Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences
Royal Society, The
Book Volume: 475
Article Number: 20190289
Journal Issue: 2230
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.
Authors with CRIS profile
Involved external institutions
Université Sorbonne Paris Cité
France (FR)
Polska Akademia Nauk (PAN) / Polish Academy of Sciences
Poland (PL)
University of Warsaw / Uniwersytet Warszawski
Poland (PL)
Texas A&M University
United States (USA) (US)
Universität Ulm
Germany (DE)
France (FR)
Polska Akademia Nauk (PAN) / Polish Academy of Sciences
Poland (PL)
University of Warsaw / Uniwersytet Warszawski
Poland (PL)
Texas A&M University
United States (USA) (US)
Universität Ulm
Germany (DE)
How to cite
APA:
Bardos, C., Gwiazda, P., Swierczewska-Gwiazda, A., Titi, E.S., & Wiedemann, E. (2019). Onsager's conjecture in bounded domains for the conservation of entropy and other companion laws. Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences, 475(2230). https://dx.doi.org/10.1098/rspa.2019.0289
MLA:
Bardos, C., et al. "Onsager's conjecture in bounded domains for the conservation of entropy and other companion laws." Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences 475.2230 (2019).
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