On the Extension of Onsager’s Conjecture for General Conservation Laws
On the Extension of Onsager’s Conjecture for General Conservation Laws
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论昂萨格猜想对一般守恒定律的推广
DOI：
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发表时间：
2018
影响因子：
3
通讯作者：
E. Wiedemann
中科院分区：
文献类型：
--
作者：
C. Bardos;P. Gwiazda;Agnieszka Świerczewska;E. Titi;E. Wiedemann
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>1/3documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$alpha > 1/3$$end{document}, concerning the regularity of the solutions, say in C0,αdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$C^{0,alpha }$$end{document}, that guarantees the conservation of the generalized entropy, regardless of the structure of the genuine nonlinearity in the underlying system.
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>1/3documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$alpha > 1/3$$end{document}, concerning the regularity of the solutions, say in C0,αdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$C^{0,alpha }$$end{document}, that guarantees the conservation of the generalized entropy, regardless of the structure of the genuine nonlinearity in the underlying system.
影响因子：
3
作者：
Buckmaster, Tristan;De Lellis, Camillo;Vicol, Vlad
通讯作者：
Vicol, Vlad
影响因子：
2.4
作者：
Drivas, Theodore D.;Eyink, Gregory L.
通讯作者：
Eyink, Gregory L.