We provide a mathematical proof of the existence of traveling vortex rings solutions to the Gross-Pitaevskii (GP) equation in dimension N ³ 3. We also extend the asymptotic analysis of the free field Ginzburg-Landau equation to a larger class of equations, including the Ginzburg-Landau equation for superconductivity as well as the traveling wave equation for GP. In particular we rigorously derive a curvature equation for the concentration set (i.e. line vortices if N = 3).
Titolo: | Vortex rings for the Gross-Pitaevskii equation | |
Autori: | ||
Data di pubblicazione: | 2004 | |
Rivista: | ||
Handle: | http://hdl.handle.net/11562/16564 | |
Appare nelle tipologie: | 01.01 Articolo in Rivista |
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