Existence of stationary turbulent flows with variable positive vortex intensity
Analysis of PDEs
2016-07-26 v1
Abstract
We prove the existence of stationary turbulent flows with arbitrary positive vortex circulation on non simply connected domains. Our construction yields solutions for all real values of the inverse temperature with the exception of a quantized set, for which blow-up phenomena may occur. Our results complete the analysis initiated in [J. Diff. Equ. 260 (2016), 339-369].
Keywords
Cite
@article{arxiv.1607.07051,
title = {Existence of stationary turbulent flows with variable positive vortex intensity},
author = {Francesca De Marchis and Tonia Ricciardi},
journal= {arXiv preprint arXiv:1607.07051},
year = {2016}
}