{ "id": "1710.07996", "version": "v1", "published": "2017-10-22T18:39:08.000Z", "updated": "2017-10-22T18:39:08.000Z", "title": "Semi-classical propagation of singularity for Stokes system", "authors": [ "Chenmin Sun" ], "categories": [ "math.AP" ], "abstract": "We study the quasi-mode of Stokes system posed on a smooth bounded domain with Dirichlet boundary condition. We prove that the high energy L2 norm of solutions concentrate on the bi-characteristic of Laplace operator as matrix-valued Radon measure. Moreover, we prove that the support of such measure is invariant under Melrose-Sj\\\"ostrand flow.", "revisions": [ { "version": "v1", "updated": "2017-10-22T18:39:08.000Z" } ], "analyses": { "keywords": [ "stokes system", "semi-classical propagation", "high energy l2 norm", "singularity", "dirichlet boundary condition" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }