We survey some recent results of the authors on variational and evolution problems concerning a certain class of convex 1-homogeneous functionals for vector-valued maps related to models in phase transitions (Hele-Shaw), superconductivity (Ginzburg-Landau) and superfluidity (Gross-Pitaevskii). Minimizers and gradient flows of such functionals may be characterized as solutions of suitable non-local vectorial generalization of the classical obstacle problem.

Limiting models in condensed matter Physics and gradient flows of 1-homogeneous functionals

ORLANDI, Giandomenico
2013

Abstract

We survey some recent results of the authors on variational and evolution problems concerning a certain class of convex 1-homogeneous functionals for vector-valued maps related to models in phase transitions (Hele-Shaw), superconductivity (Ginzburg-Landau) and superfluidity (Gross-Pitaevskii). Minimizers and gradient flows of such functionals may be characterized as solutions of suitable non-local vectorial generalization of the classical obstacle problem.
9788876424724
superconductivity; Bose-Einstein condensation; vortices; gradient flow; phase transitions
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11562/618359
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