{ "id": "1909.08296", "version": "v1", "published": "2019-09-18T09:09:51.000Z", "updated": "2019-09-18T09:09:51.000Z", "title": "Long time existence for the Boussinesq -- Full Dispersion systems", "authors": [ "Jean-Claude Saut", "Li Xu" ], "categories": [ "math.AP" ], "abstract": "We establish the long time existence of solutions for the \"Boussinesq-Full Dispersion\" systems modeling the propagation of internal waves in a two-layer system. For the two-dimensional Hamiltonian case we prove the global existence of small solutions of the corresponding systems.", "revisions": [ { "version": "v1", "updated": "2019-09-18T09:09:51.000Z" } ], "analyses": { "keywords": [ "long time existence", "full dispersion systems", "two-dimensional hamiltonian case", "internal waves", "two-layer system" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }