Artículos de revistas
Large time behavior for vortex evolution in the half-plane
Registro en:
Communications In Mathematical Physics. Springer-verlag, v. 237, n. 3, n. 441, n. 469, 2003.
0010-3616
WOS:000183459300003
10.1007/s00220-003-0843-3
Autor
Iftimie, D
Lopes, MC
Lopes, HJN
Institución
Resumen
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. 237 3 441 469