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|Type:||Artigo de periódico|
|Title:||Large time behavior for vortex evolution in the half-plane|
|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.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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