Non linear Schroedinger equation; travelling waves; prescribed curvature equation
Short description of contents:
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).
Product ID:
16564
Handle IRIS:
11562/16564
Deposited On:
December 3, 2007
Last Modified:
March 28, 2023
Bibliographic citation:
F., Bethuel; Orlandi, Giandomenico; D., Smets,
Vortex rings for the Gross-Pitaevskii equation«Journal of the European Mathematical Society»
, vol. 6
, n. 1
, 2004
, pp. 17-94