{ "id": "math/0512327", "version": "v1", "published": "2005-12-14T10:45:05.000Z", "updated": "2005-12-14T10:45:05.000Z", "title": "Large time behaviour of solutions of a system of generalized Burgers equation", "authors": [ "K T Joseph" ], "comment": "9 pages", "journal": "Proc. Indian Acad. Sci. (Math. Sci.), Vol. 115, No. 4, November 2005, pp. 409-517", "categories": [ "math.AP" ], "abstract": "In this paper we study the asymptotic behaviour of solutions of a system of $N$ partial differential equations. When $N = 1$ the equation reduces to the Burgers equation and was studied by Hopf. We consider both the inviscid and viscous case and show a new feature in the asymptotic behaviour.", "revisions": [ { "version": "v1", "updated": "2005-12-14T10:45:05.000Z" } ], "analyses": { "subjects": [ "35B40", "35L60" ], "keywords": [ "large time behaviour", "generalized burgers equation", "asymptotic behaviour", "partial differential equations", "equation reduces" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math.....12327J" } } }