Well-posedness for mean-field evolutions arising in superconductivity

Mitia Duerinckx 1, 2, 3
2 MEPHYSTO - Quantitative methods for stochastic models in physics
LPP - Laboratoire Paul Painlevé - UMR 8524, ULB - Université Libre de Bruxelles [Bruxelles], Inria Lille - Nord Europe
Abstract : We establish the existence of a global solution to a family of equations, which are obtained in certain regimes in [19] as the mean-field evolution of the supercurrent density in a (2D section of a) type-II superconductor with pinning and with imposed electric current. We also consider general vortex-sheet initial data, and investigate the uniqueness and regularity properties of the solution.
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https://hal.inria.fr/hal-01389812
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Submitted on : Saturday, October 29, 2016 - 5:42:10 PM
Last modification on : Tuesday, May 14, 2019 - 11:06:58 AM

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Mitia Duerinckx. Well-posedness for mean-field evolutions arising in superconductivity. 2016. ⟨hal-01389812⟩

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