Desingularization of Vortex Rings and Shallow Water Vortices by a Semilinear Elliptic Problem

作者:de Valeriola Sebastien*; Van Schaftingen Jean
来源:Archive for Rational Mechanics and Analysis, 2013, 210(2): 409-450.
DOI:10.1007/s00205-013-0647-3

摘要

Steady vortices for the three-dimensional Euler equation for inviscid incompressible flows and for the shallow water equation are constructed and shown to tend asymptotically to singular vortex filaments. The construction is based on a study of solutions to the semilinear elliptic problem for small values of .

  • 出版日期2013-11