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arXiv:1209.3988 [math.AP]AbstractReferencesReviewsResources

Desingularization of vortex rings and shallow water vortices by semilinear elliptic problem

Sébastien de Valeriola, Jean Van Schaftingen

Published 2012-09-18Version 1

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.

Comments: 34 pages
Journal: Arch. Rat. Mech. Anal. 210 (2013), no. 2, 409-450
Categories: math.AP
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