Unified theory on V-states structures for active scalar equations
Analysis of PDEs
2023-12-06 v1
Abstract
This paper revolves around the existence of V-states close to Rankine vortices for active scalar equations with completely monotone kernels. This allows to unify various results on this topic related to geophysical flows. A key ingredient is a new factorization formula for the spectrum using a universal function which is independent of the model. This function admits several interesting properties allowing to track the spectrum distribution.
Cite
@article{arxiv.2312.02874,
title = {Unified theory on V-states structures for active scalar equations},
author = {Taoufik Hmidi and Liutang Xue and Zhilong Xue},
journal= {arXiv preprint arXiv:2312.02874},
year = {2023}
}
Comments
48 pages