Renormalization and energy conservation for axisymmetric fluid flows

2019/06/18 by Nobili, Camilla, Seis, Christian · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1906.07400

Abstract

We study vanishing viscosity solutions to the axisymmetric Euler equations 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.

Cited by

• Vortex Stretching for Axisymmetric Euler Flows Without Swirl: Three-Halves Radial-Moment Growth and Near-Linear Growth of the Vorticity Maximum

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