{ "id": "0704.2359", "version": "v1", "published": "2007-04-18T14:43:07.000Z", "updated": "2007-04-18T14:43:07.000Z", "title": "Navier-Stokes equations with periodic boundary conditions and pressure loss", "authors": [ "Chérif Amrouche", "Macaire Batchi", "Jean Batina" ], "comment": "10 pages", "categories": [ "math.AP" ], "abstract": "We present in this note the existence and uniqueness results for the Stokes and Navier-Stokes equations which model the laminar flow of an incompressible fluid inside a two-dimensional channel of periodic sections. The data of the pressure loss coefficient enables us to establish a relation on the pressure and to thus formulate an equivalent problem.", "revisions": [ { "version": "v1", "updated": "2007-04-18T14:43:07.000Z" } ], "analyses": { "keywords": [ "periodic boundary conditions", "navier-stokes equations", "pressure loss coefficient enables", "two-dimensional channel", "periodic sections" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0704.2359A" } } }