{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T13:26:52Z","timestamp":1787318812564,"version":"build-2736575974"},"reference-count":25,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","funder":[{"DOI":"10.13039\/501100005416","name":"Norwegian Research Council","doi-asserted-by":"crossref","id":[{"id":"10.13039\/501100005416","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/100016190","name":"Trond Mohn Stiftelse","doi-asserted-by":"crossref","id":[{"id":"10.13039\/100016190","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Math. Anal."],"published-print":{"date-parts":[[2020,1]]},"abstract":"<jats:p>We regard the Cauchy problem for a particular Whitham--Boussinesq system modeling surface waves of an inviscid incompressible fluid layer. We are interested in well-posedness at a very low level of regularity. We derive dispersive and Strichartz estimates and implement them together with a fixed point argument to solve the problem locally. Hamiltonian conservation guarantees global well-posedness for small initial data in the one dimensional settings.<\/jats:p>","DOI":"10.1137\/19m125577x","type":"journal-article","created":{"date-parts":[[2020,5,11]],"date-time":"2020-05-11T14:44:45Z","timestamp":1589208285000},"page":"2353-2382","source":"Crossref","is-referenced-by-count":8,"title":["Well-Posedness for a Dispersive System of the Whitham--Boussinesq Type"],"prefix":"10.1137","volume":"52","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7331-8245","authenticated-orcid":true,"given":"E.","family":"Dinvay","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"S.","family":"Selberg","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"A.","family":"Tesfahun","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2020,5,11]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1007\/s42286-019-00002-z"},{"key":"atypb2","first-page":"256","author":"Alazard T.","year":"2018","journal-title":"Mem. 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