Nonlinear Klein-Gordon equations coupled with Born-Infeld type equations.
d'Avenia, Pietro, Pisani, Lorenzo (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Displaying similar documents to “Computational simulation of vortex phenomena in superconductors.”
Nonlinear Klein-Gordon equations coupled with Born-Infeld type equations.
On a Brezis-Nirenberg type problem.
Catrina, Florin (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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The Vlasov equation with strong mangnetic field and oscillating electric field as a model for isotop resonant separation.
Frénod, Emmanuel, Watbled, Frédérique (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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A pattern formation problem on the sphere.
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Electronic Journal of Differential Equations (EJDE) [electronic only]
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Energetics and switching of quasi-uniform states in small ferromagnetic particles
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ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We present a numerical algorithm to solve the micromagnetic equations based on tangential-plane minimization for the magnetization update and a homothethic-layer decomposition of outer space for the computation of the demagnetization field. As a first application, detailed results on the flower-vortex transition in the cube of Micromagnetic Standard Problem number 3 are obtained, which confirm, with a different method, those already present in the literature, and validate our method...
Multiple semiclassical states for singular magnetic nonlinear Schrödinger equations.
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Nonlinear subelliptic Schrödinger equations with external magnetic field.
Tintarev, Kyril (2004)
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Ginzburg-Landau vortices : the static model
Tristan Rivière (1999-2000)
Séminaire Bourbaki
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On the Ginzburg-Landau and related equations
Yu N. Ovchinnikov, Israel Michael Sigal (1997-1998)
Séminaire Équations aux dérivées partielles
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We describe qualitative behaviour of solutions of the Gross-Pitaevskii equation in 2D in terms of motion of vortices and radiation. To this end we introduce the notion of the intervortex energy. We develop a rather general adiabatic theory of motion of well separated vortices and present the method of effective action which gives a fairly straightforward justification of this theory. Finally we mention briefly two special situations where we are able to obtain rather detailed picture...