{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,6,21]],"date-time":"2023-06-21T04:09:41Z","timestamp":1687320581915},"reference-count":0,"publisher":"Centre pour la Communication Scientifique Directe (CCSD)","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"The study of a 1D-shallow water model, obtained in a height-flow formulation, is presented. It takes viscosity into account and can be used for the flood prediction in rivers. For a linearized system, the existence and uniqueness of a global solution is proved. Finally, various numerical results are presented regarding the linear and non linear case.<\/jats:p>\n Nous d\u00e9rivons les \u00e9quations de Saint-Venant compl\u00e8tes avec la formulation hauteur-d\u00e9bit. La viscosit\u00e9 est prise en compte dans le mod\u00e8le. Pour le syst\u00e8me lin\u00e9aris\u00e9, l\u2019existence et l\u2019unicit\u00e9 de solution globale est montr\u00e9e. Des resultats num\u00e9riques sont pr\u00e9sent\u00e9s aussi bien dans le cas lin\u00e9aire que non lin\u00e9aire.<\/jats:p>","DOI":"10.46298\/arima.1901","type":"journal-article","created":{"date-parts":[[2021,1,26]],"date-time":"2021-01-26T09:38:36Z","timestamp":1611653916000},"source":"Crossref","is-referenced-by-count":0,"title":["On a 1D-Shallow Water Model: Existence of solution and numerical simulations"],"prefix":"10.46298","volume":"Volume 9, 2007 Conference in...","author":[{"given":"Olivier","family":"Besson","sequence":"first","affiliation":[{"name":"Institut de Math\u00e9matiques"}]},{"given":"Soul\u00e8ye","family":"Kane","sequence":"additional","affiliation":[{"name":"\u00c9cole Sup\u00e9rieure Polytechnique de Dakar"}]},{"given":"Mamadou","family":"Sy","sequence":"additional","affiliation":[{"name":"Laboratoire d'Analyse Num\u00e9rique et Informatique [S\u00e9n\u00e9gal]"}]}],"member":"25203","published-online":{"date-parts":[[2008,11,20]]},"container-title":["Revue Africaine de Recherche en Informatique et Math\u00e9matiques Appliqu\u00e9es"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/arima.episciences.org\/1901\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/arima.episciences.org\/1901\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,6,20]],"date-time":"2023-06-20T20:54:33Z","timestamp":1687294473000},"score":1,"resource":{"primary":{"URL":"https:\/\/arima.episciences.org\/1901"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,11,20]]},"references-count":0,"URL":"https:\/\/doi.org\/10.46298\/arima.1901","relation":{"is-same-as":[{"id-type":"uri","id":"https:\/\/hal.science\/hal-01277918v1","asserted-by":"subject"}]},"ISSN":["1638-5713"],"issn-type":[{"value":"1638-5713","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,11,20]]}}}