{ "id": "1202.5133", "version": "v2", "published": "2012-02-23T09:37:40.000Z", "updated": "2012-02-27T08:37:40.000Z", "title": "Heat conduction in anisotropic media: Nonlinear self-adjointness and conservation laws", "authors": [ "Nail H. Ibragimov", "Elena D. Avdonina" ], "categories": [ "math-ph", "math.MP" ], "abstract": "Nonlinear self-adjointness of the anisotropic nonlinear heat equation is investigated. Mathematical models of heat conduction in anisotropic media with a source are considered and a class of self-adjoint models is identified. Conservation laws corresponding to the symmetries of the equations in question are computed.", "revisions": [ { "version": "v2", "updated": "2012-02-27T08:37:40.000Z" } ], "analyses": { "keywords": [ "nonlinear self-adjointness", "heat conduction", "conservation laws", "anisotropic media", "anisotropic nonlinear heat equation" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1202.5133I" } } }