Vortex helices for the Gross-Pitaevskii equation
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Publication:2581333
DOI10.1016/j.matpur.2005.08.008zbMath1159.35425OpenAlexW2055839945MaRDI QIDQ2581333
Publication date: 9 January 2006
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matpur.2005.08.008
stabilityisoperimetric problemGross-Pitaevskii equationevolutionary cubic nonlinear Schrödinger equationstationary complex equationvortex helix
Periodic solutions to PDEs (35B10) Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (6)
Travelling helices and the vortex filament conjecture in the incompressible Euler equations ⋮ Vortex structures for Klein-Gordon equation with Ginzburg-Landau nonlinearity ⋮ Interacting helical traveling waves for the Gross-Pitaevskii equation ⋮ Symmetric vortices for two-component \(p\)-Ginzburg-Landau systems ⋮ Traveling vortex helices for Schrödinger map equations ⋮ Interacting helical vortex filaments in the three-dimensional Ginzburg-Landau equation
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