Renormalization and energy conservation for axisymmetric fluid flows
Analysis of PDEs
2019-06-19 v1 Mathematical Physics
math.MP
Abstract
We study vanishing viscosity solutions to the axisymmetric Euler equations with (relative) vorticity in with . 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 and the vorticity is nonnegative and has finite second moments.
Cite
@article{arxiv.1906.07400,
title = {Renormalization and energy conservation for axisymmetric fluid flows},
author = {Camilla Nobili and Christian Seis},
journal= {arXiv preprint arXiv:1906.07400},
year = {2019}
}