A rigorous derivation of free-boundary problem arising in superconductivity

Etienne Sandier; Sylvia Serfaty

Displaying similar documents to “A rigorous derivation of free-boundary problem arising in superconductivity”

Ginzburg-Landau vortices : the static model

Tristan Rivière (1999-2000)

Séminaire Bourbaki

Similarity:

On a model of rotating superfluids

Sylvia Serfaty (2001)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

We consider an energy-functional describing rotating superfluids at a rotating velocity $ω$ , and prove similar results as for the Ginzburg-Landau functional of superconductivity: mainly the existence of branches of solutions with vortices, the existence of a critical $ω$ above which energy-minimizers have vortices, evaluations of the minimal energy as a function of $ω$ , and the derivation of a limiting free-boundary problem.

A survey of some new results in ferromagnetic thin films

Radu Ignat (2007-2008)

Séminaire Équations aux dérivées partielles

Similarity:

Asymptotic analysis for the Ginzburg-Landau equations

Tristan Rivière (1999)

Bollettino dell'Unione Matematica Italiana

Similarity:

Questo lavoro costituisce un survey sui problemi di limite asintotico per le soluzioni delle equazioni di Ginzburg-Landau in dimensione due. Vengono presentati essenzialmente i risultati di [BBH] e [BR] sulla formazione ed il comportamento asintotico dei vortici in un dominio bidimensionale nel caso fortemente repulsivo (large $K$ limit).

On the minimizers of the Ginzburg-Landau energy for high kappa : the axially symmetric case

Amandine Aftalion (1999)

Annales de l'I.H.P. Analyse non linéaire

Similarity: