{ "id": "1903.08077", "version": "v1", "published": "2019-03-19T16:08:56.000Z", "updated": "2019-03-19T16:08:56.000Z", "title": "Behaviour of the Stokes operators under domain perturbation", "authors": [ "Sylvie Monniaux" ], "categories": [ "math.AP", "math.FA" ], "abstract": "Depending of the geometry of the domain, one can define --at least-- three different Stokes operators with Dirichlet boundary conditions. We describe how the resolvents of these Stokes operators converge with respect to a converging sequence of domains.", "revisions": [ { "version": "v1", "updated": "2019-03-19T16:08:56.000Z" } ], "analyses": { "keywords": [ "domain perturbation", "stokes operators converge", "dirichlet boundary conditions", "resolvents", "converging sequence" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }