Effective Dynamics of Magnetic Vortices

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dc.creatorGustafson, S.
dc.creatorSigal, I. M.
dc.date2003-12-24
dc.date.accessioned2026-07-07T05:04:09Z
dc.date.available2026-07-07T05:04:09Z
dc.descriptionWe study solutions of Ginzburg-Landau-type evolution equations (both dissipative and Hamiltonian) with initial data representing collections of widely-spaced vortices. We show that for long times, the solutions continue to describe collections of vortices, and we identify (to leading order in the vortex separation) the dynamical system describing the motion of the vortex centres (effective dynamics).
dc.description52 pages
dc.identifierhttps://arxiv.org/abs/math/0312438
dc.identifierhttp://arxiv.org/abs/math/0312438
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69696
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35Q; 82D55
dc.titleEffective Dynamics of Magnetic Vortices
dc.typetext

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