{ "id": "2008.00232", "version": "v1", "published": "2020-08-01T10:09:30.000Z", "updated": "2020-08-01T10:09:30.000Z", "title": "A duality principle and its application to a model in superconductivity", "authors": [ "Fabio Silva Botelho" ], "comment": "11 pages", "categories": [ "math.AP", "math.OC" ], "abstract": "This article develops a duality principle applicable to the Ginzburg-Landau system in superconductivity. The main results are obtained through standard tools of convex analysis, functional analysis, calculus of variations and duality theory. In the last section, we present the general result for the case including a magnetic field and the respective magnetic potential in a local extremal context.", "revisions": [ { "version": "v1", "updated": "2020-08-01T10:09:30.000Z" } ], "analyses": { "subjects": [ "49N15" ], "keywords": [ "duality principle", "superconductivity", "application", "local extremal context", "standard tools" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }