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Pré-Publication, Document De Travail Année : 2016

Well-posedness for mean-field evolutions arising in superconductivity

Résumé

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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Dates et versions

hal-01389812 , version 1 (29-10-2016)
hal-01389812 , version 2 (29-11-2021)

Identifiants

  • HAL Id : hal-01389812 , version 1

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Mitia Duerinckx. Well-posedness for mean-field evolutions arising in superconductivity. 2016. ⟨hal-01389812v1⟩
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