A Global Uniqueness Result for an Evolution Problem Arising in Superconductivity
Mainini, Edoardo
Bollettino dell'Unione Matematica Italiana, Tome 2 (2009), p. 509-528 / Harvested from Biblioteca Digitale Italiana di Matematica
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We consider an energy functional on measures in ℝ2 arising in superconductivity as a limit case of the well-known Ginzburg Landau functionals. We study its gradient flow with respect to the Wasserstein metric of probability measures, whose corresponding time evolutive problem can be seen as a mean field model for the evolution of vortex densities. Improving the analysis made in [AS], we obtain a new existence and uniqueness result for the evolution problem.

Publié le : 2009-06-01
@article{BUMI_2009_9_2_2_509_0,
     author = {Edoardo Mainini},
     title = {A Global Uniqueness Result for an Evolution Problem Arising in Superconductivity},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {2},
     year = {2009},
     pages = {509-528},
     zbl = {1175.82080},
     mrnumber = {2537285},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2009_9_2_2_509_0}
}

Mainini, Edoardo. A Global Uniqueness Result for an Evolution Problem Arising in Superconductivity. Bollettino dell'Unione Matematica Italiana, Tome 2 (2009) pp. 509-528. http://gdmltest.u-ga.fr/item/BUMI_2009_9_2_2_509_0/

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