On the Extension of Onsager’s Conjecture for General Conservation Laws
Bardos C, Gwiazda P, Swierczewska-Gwiazda A, Titi ES, Wiedemann E (2019)
Publication Type: Journal article
Publication year: 2019
Journal
Book Volume: 29
Pages Range: 501-510
Journal Issue: 2
DOI: 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, 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.
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). On the Extension of Onsager’s Conjecture for General Conservation Laws. Journal of Nonlinear Science, 29(2), 501-510. https://dx.doi.org/10.1007/s00332-018-9496-4
MLA:
Bardos, Claude, et al. "On the Extension of Onsager’s Conjecture for General Conservation Laws." Journal of Nonlinear Science 29.2 (2019): 501-510.
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