Traveling vortex pairs for 2D Boussinesq equations
Analysis of PDEs
2022-04-01 v1
Abstract
In this paper, we study the existence and asymptotic properties of the traveling vortex pairs for the two-dimensional inviscid incompressible Boussinesq equations. We construct a family of traveling vorticity pairs, which constitutes the de-singularization of a pair of point vortices with equal intensity but opposite sign. Using the improved vorticity method, we also give limiting position of the supports of vorticities.
Keywords
Cite
@article{arxiv.2203.16999,
title = {Traveling vortex pairs for 2D Boussinesq equations},
author = {Daomin Cao and Shanfa Lai and Guolin qin},
journal= {arXiv preprint arXiv:2203.16999},
year = {2022}
}
Comments
23 pages. arXiv admin note: text overlap with arXiv:2012.10918