Renormalization and energy conservation for axisymmetric fluid flows

被引：6

作者：

Nobili, Camilla ^{[1
]}

Seis, Christian ^{[2
]}

机构：

[1] Univ Hamburg, Fachbereich Math, Hamburg, Germany

[2] Westfalische Wilhelms Univ Munster, Inst Anal & Numer, Munster, Germany

来源：

MATHEMATISCHE ANNALEN | 2022年 / 382卷 / 1-2期

关键词：

EULER EQUATIONS; WEAK SOLUTIONS; LAGRANGIAN SOLUTIONS; ONSAGERS CONJECTURE; CAUCHY-PROBLEM; CONTINUITY; VORTICITY; IDEAL;

D O I：

10.1007/s00208-020-02050-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study vanishing viscosity solutions to the axisymmetric Euler equations without swirl with (relative) vorticity in L-p with p > 1. We show that these solutions satisfy the corresponding vorticity equations in the sense of renormalized solutions. Moreover, we show that the kinetic energy is preserved provided that p > 3/2 and the vorticity is nonnegative and has finite second moments.

引用

页码：1 / 36

页数：36

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