### Nonlinear Klein-Gordon equations coupled with Born-Infeld type equations.

d&#039;Avenia, Pietro, Pisani, Lorenzo (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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d&#039;Avenia, Pietro, Pisani, Lorenzo (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Catrina, Florin (2006)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Frénod, Emmanuel, Watbled, Frédérique (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Garza-Hume, Clara E., Padilla, Pablo (2007)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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François Alouges, Sergio Conti, Antonio DeSimone, Yvo Pokern (2004)

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...

Barile, Sara (2008)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Tintarev, Kyril (2004)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Tristan Rivière (1999-2000)

Séminaire Bourbaki

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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...