Large time behavior for vortex evolution in the half-plane
Fluid Dynamics
2009-11-07 v1
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.
Cite
@article{arxiv.physics/0206094,
title = {Large time behavior for vortex evolution in the half-plane},
author = {D. Iftimie and M. C. Lopes Filho and H. J. Nussenzveig Lopes},
journal= {arXiv preprint arXiv:physics/0206094},
year = {2009}
}
Comments
30 pages, no figures