2013 | OriginalPaper | Chapter
Limiting models in condensed matter Physics and gradient flows of 1-homogeneous functional
Authors : Matteo Novaga, Giandomenico Orlandi
Published in: Geometric Partial Differential Equations proceedings
Publisher: Scuola Normale Superiore
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
We survey some recent results 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-Ktaevskii). Minimizers and gradient flows of such functionals may be characterized as solutions of suitable non-local vectorial generalizations of the classical obstacle problem.