{ "id": "1809.08394", "version": "v1", "published": "2018-09-22T06:56:39.000Z", "updated": "2018-09-22T06:56:39.000Z", "title": "Asymptotic behavior of solutions to 3D incompressible Navier-Stokes equations with damping", "authors": [ "Xiaopeng Zhao", "Haichao Meng" ], "comment": "6 pages, 0 figure", "categories": [ "math.AP" ], "abstract": "In this paper, we study the upper bound of the time decay rate of solutions to the Navier-Stokes equations and generalized Navier-Stokes equations with damping term $|u|^{\\beta-1}u$ ($\\beta>1$) in $\\mathbb{R}^3$.", "revisions": [ { "version": "v1", "updated": "2018-09-22T06:56:39.000Z" } ], "analyses": { "keywords": [ "3d incompressible navier-stokes equations", "asymptotic behavior", "time decay rate", "upper bound", "generalized navier-stokes equations" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }