{ "id": "1312.4444", "version": "v4", "published": "2013-12-16T18:19:15.000Z", "updated": "2014-11-22T09:40:39.000Z", "title": "An initial-boundary value problem in a strip for a two-dimensional equation of Zakharov-Kuznetsov type", "authors": [ "Andrei V. Faminskii" ], "comment": "26 pages", "categories": [ "math.AP" ], "abstract": "An initial-boundary value problem in a strip with homogeneous Diriclet boundary conditions for two-dimensional generalized Zakharov-Kuznetsov equation is considered. In particular, dissipative and absorbing degenerate terms can be supplemented to the original Zakharov-Kuznetsov equation. Results on global existence, uniqueness and long-time decay of weak silutions are established.", "revisions": [ { "version": "v3", "updated": "2014-03-15T09:47:45.000Z", "comment": "25 pages", "journal": null, "doi": null }, { "version": "v4", "updated": "2014-11-22T09:40:39.000Z" } ], "analyses": { "subjects": [ "35Q53" ], "keywords": [ "initial-boundary value problem", "two-dimensional equation", "zakharov-kuznetsov type", "two-dimensional generalized zakharov-kuznetsov equation", "homogeneous diriclet boundary conditions" ], "note": { "typesetting": "TeX", "pages": 26, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1312.4444F" } } }