Desingularization of vortex rings and shallow water vortices by semilinear elliptic problem
Analysis of PDEs
2013-11-27 v1
Abstract
Steady vortices for the three-dimensional Euler equation for inviscid incompressible flows and for the shallow water equation are constructed and showed to tend asymptotically to singular vortex filaments. The construction is based on the asymptotic study of solutions to a semilinear elliptic problem.
Keywords
Cite
@article{arxiv.1209.3988,
title = {Desingularization of vortex rings and shallow water vortices by semilinear elliptic problem},
author = {Sébastien de Valeriola and Jean Van Schaftingen},
journal= {arXiv preprint arXiv:1209.3988},
year = {2013}
}
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34 pages