2005
DOI: 10.1063/1.2145763
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Family of propagating vortex-wave equilibria for the two-dimensional Euler equations

Abstract: A family of translating vortex equilibria for the two-dimensional Euler equations is investigated both analytically and numerically. The equilibria are comprised of a nonlinear wave propagating along an infinitely long vortical interface together with a comoving point vortex and dipole. The vortical interface separates the flow of uniform vorticity from a nontrivial irrotational flow. The analytical construction, though not an exact solution for the equilibria, is a relatively simple model having good quantita… Show more

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