{ "id": "1210.6120", "version": "v1", "published": "2012-10-23T03:57:42.000Z", "updated": "2012-10-23T03:57:42.000Z", "title": "An effective approach to the solution of a system of nonlinear differential equations in partial derivatives", "authors": [ "A. Tsionskiy", "M. Tsionskiy" ], "comment": "3 pages", "categories": [ "math.AP" ], "abstract": "There are few approaches to the solution of a system of nonlinear differential equations in partial derivatives, for example $\\cite{NK87} - \\cite{EK98}$. In our paper we propose an approach that was used to solve the Navier-Stokes equations in three dimensional space. This solution is described in details in article \"Existence, uniqueness and smoothness of solution for 3D Navier-Stokes equations with any smooth initial velocity\" $\\cite{TT12}$. The authors expect that it can be successfully applied to other systems of nonlinear differential equations in partial derivatives.", "revisions": [ { "version": "v1", "updated": "2012-10-23T03:57:42.000Z" } ], "analyses": { "subjects": [ "35Q35", "35Q74" ], "keywords": [ "nonlinear differential equations", "partial derivatives", "effective approach", "3d navier-stokes equations", "smooth initial velocity" ], "note": { "typesetting": "TeX", "pages": 3, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1210.6120T" } } }