{ "id": "1811.10532", "version": "v1", "published": "2018-11-17T05:43:53.000Z", "updated": "2018-11-17T05:43:53.000Z", "title": "Random Attractors for Stochastic Navier-Stokes equation on a 2D rotating sphere with stable Lévy noise", "authors": [ "Leanne Dong" ], "categories": [ "math.PR" ], "abstract": "In this paper we prove that the stochastic Navier-Stokes equations with additive stable L\\'evy noise generates a random dynamical systems. Then we prove the existence of random attractor for the Navier-Stokes equations on 2D spheres under stable L\\'evy noise. We also deduce the existence of Feller Markov invariant measure.", "revisions": [ { "version": "v1", "updated": "2018-11-17T05:43:53.000Z" } ], "analyses": { "subjects": [ "37Hxx", "35Q30", "35Q86" ], "keywords": [ "stochastic navier-stokes equation", "2d rotating sphere", "stable lévy noise", "random attractor", "stable levy noise generates" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }