{ "id": "1510.08936", "version": "v1", "published": "2015-10-29T23:01:49.000Z", "updated": "2015-10-29T23:01:49.000Z", "title": "Inertial manifolds for the 3D modified-Leray-$α$ model with periodic boundary conditions", "authors": [ "Anna Kostianko" ], "categories": [ "math.AP" ], "abstract": "The existence of an inertial manifold for the modified Leray-$\\alpha$ model with periodic boundary conditions in three-dimensional space is proved by using the so-called spatial averaging principle.", "revisions": [ { "version": "v1", "updated": "2015-10-29T23:01:49.000Z" } ], "analyses": { "subjects": [ "35B40", "35B42", "35Q30", "76F20" ], "keywords": [ "periodic boundary conditions", "inertial manifold", "three-dimensional space", "spatial averaging principle" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv151008936K" } } }