Large time behavior for vortex evolution in the half-plane

Details Large time behavior for vortex evolution in the half-plane Large time behavior for vortex evolution in the half-plane

2002-06-28

arxiv.org/abs/physics/0206094v1

Comm. Math. Phys. 237 (2003), 441-469

Physics

Fluid Dynamics

30 pages, no figures

Scientific paper

10.1007/s00220-003-0843-3

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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