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Large time behavior for vortex evolution in the half-plane

D. Iftimie·M. C. Lopes Filho·H. J. Nussenzveig Lopes
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Abstract

In this article we study the long-time behavior of incompressible ideal flow in a half plane from the point of view of vortex scattering. Our main result is that certain asymptotic states for half-plane vortex dynamics decompose naturally into a nonlinear superposition of soliton-like states. Our approach is to combine techniques developed in the study of vortex confinement with weak convergence tools in order to study the asymptotic behavior of a self-similar rescaling of a solution of the incompressible 2D Euler equations on a half plane with compactly supported, nonnegative initial vorticity.

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D. Iftimie, M. C. Lopes Filho, H. J. Nussenzveig Lopes. 2002-06-28. Large time behavior for vortex evolution in the half-plane. https://doi.org/10.1007/s00220-003-0843-3

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