Statistical solutions and Onsager's conjecture

被引：30
|
作者：
Fjordholm, U. S. [1 ]
Wiedemann, E. [2 ]
机构：
[1] Univ Oslo, Dept Math, Postboks 1053 Blindern, N-0316 Oslo, Norway
[2] Leibniz Univ Hannover, Inst Angew Math, Welfengarten 1, D-30167 Hannover, Germany
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2018年 / 376卷
关键词：
Incompressible Euler equations; Onsager's conjecture; Statistical solutions; Energy conservation; MEASURE-VALUED SOLUTIONS; NAVIER-STOKES EQUATIONS; ENERGY-CONSERVATION; WEAK SOLUTIONS; EULER EQUATIONS; DISSIPATION; LAWS;
D O I：
10.1016/j.physd.2017.10.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove a version of Onsager's conjecture on the conservation of energy for the incompressible Euler equations in the context of statistical solutions, as introduced recently by Fjordholm et al. (2017). As a byproduct, we also obtain an alternative proof for the conservative direction of Onsager's conjecture for weak solutions, under a weaker Besov-type regularity assumption than previously known. (C) 2017 Elsevier B.V. All rights reserved.
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页码：259 / 265
页数：7
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