{ "id": "1006.3905", "version": "v1", "published": "2010-06-20T03:26:37.000Z", "updated": "2010-06-20T03:26:37.000Z", "title": "Motion of a Vortex Filament in the Half Space", "authors": [ "Masashi Aiki", "Tatsuo Iguchi" ], "comment": "8 pages", "categories": [ "math.AP" ], "abstract": "A model equation for the motion of a vortex filament immersed in three dimensional, incompressible and inviscid fluid is investigated as a humble attempt to model the motion of a tornado. We solve an initial-boundary value problem in the half space where we impose a boundary condition in which the vortex filament is allowed to move on the boundary.", "revisions": [ { "version": "v1", "updated": "2010-06-20T03:26:37.000Z" } ], "analyses": { "subjects": [ "35A01" ], "keywords": [ "half space", "initial-boundary value problem", "inviscid fluid", "boundary condition", "model equation" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1006.3905A" } } }