dorsal/arxiv
View SchemaLarge time behavior for vortex evolution in the half-plane
| Authors | D. Iftimie, M. C. Lopes Filho, H. J. Nussenzveig Lopes |
|---|---|
| Categories | |
| ArXiv ID | physics/0206094 |
| URL | https://arxiv.org/abs/physics/0206094 |
| DOI | 10.1007/s00220-003-0843-3 |
| Journal | Comm. Math. Phys. 237 (2003), 441-469 |
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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"abstract": "In this article we study the long-time behavior of incompressible ideal flow\nin a half plane from the point of view of vortex scattering. Our main result is\nthat certain asymptotic states for half-plane vortex dynamics decompose\nnaturally into a nonlinear superposition of soliton-like states. Our approach\nis to combine techniques developed in the study of vortex confinement with weak\nconvergence tools in order to study the asymptotic behavior of a self-similar\nrescaling of a solution of the incompressible 2D Euler equations on a half\nplane with compactly supported, nonnegative initial vorticity.",
"arxiv_id": "physics/0206094",
"authors": [
"D. Iftimie",
"M. C. Lopes Filho",
"H. J. Nussenzveig Lopes"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1007/s00220-003-0843-3",
"journal_ref": "Comm. Math. Phys. 237 (2003), 441-469",
"title": "Large time behavior for vortex evolution in the half-plane",
"url": "https://arxiv.org/abs/physics/0206094"
},
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