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EnglishWe 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.
http://hdl.handle.net/11562/618359| Titolo: | Limiting models in condensed matter Physics and gradient flows of 1-homogeneous functionals |
| Autori: | |
| Data di pubblicazione: | 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. |
| Handle: | http://hdl.handle.net/11562/618359 |
| ISBN: | 9788876424724 |
| Appare nelle tipologie: | 04.01 Contributo in atti di convegno |
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