Statistical solutions and Onsager's conjecture

被引：31

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.

引用

页码：259 / 265

页数：7

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