Dynamics of Ginzburg-Landau and Gross-Pitaevskii vortices on manifolds

DOI10.3934/dcds.2014.34.1905zbMath1274.35397arXiv1211.6780OpenAlexW3101180583MaRDI QIDQ379851

Peter Sternberg, Ko-Shin Chen

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.6780

zbMATH Keywords

Ginzburg-Landauvortex motionGross-Pitaevskii

Mathematics Subject Classification ID

Initial value problems for second-order parabolic equations (35K15) PDEs on manifolds (35R01)

Related Items (5)

Global continua of periodic solutions of singular first-order Hamiltonian systems of \(N\)-vortex type ⋮ Dynamics of Ginzburg-Landau vortices for vector fields on surfaces ⋮ The Yang-Mills-Higgs functional on complex line bundles: \(\Gamma\)-convergence and the London equation ⋮ An Approach to Quad Meshing Based on Harmonic Cross-Valued Maps and the Ginzburg--Landau Theory ⋮ The generalized point-vortex problem and rotating solutions to the Gross-Pitaevskii equation on surfaces of revolution

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