SUFFICIENT CONDITIONS FOR LOCAL ENERGY CONSERVATION FOR THE COMPRESSIBLE EULER SYSTEM

被引：0

作者：

Chomienia, Lukasz ^{[1
]}

机构：

[1] Univ Warsaw, Fac Math Informat & Mech, Banacha 2, PL-02097 Warsaw, Poland

来源：

COLLOQUIUM MATHEMATICUM | 2022年 / 168卷 / 02期

关键词：

compressible fluid; energy conservation; Euler equations; hyper-bolic conservation laws; Onsager's conjecture; CONJECTURE;

D O I：

10.4064/cm8289-2-2021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a local energy equality for the compressible isentropic Euler equations under the assumptions of Besov regularity in space and Bochner integrability in time. We show that this result can be established for a certain range of exponents which control regularity. We use the Littlewood-Paley decomposition to extend the energy equality to a borderline value of the regularity exponent.

引用

页码：171 / 197

页数：27

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