{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:47:01Z","timestamp":1777448821473,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2010,6,1]],"date-time":"2010-06-01T00:00:00Z","timestamp":1275350400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2010,6]]},"abstract":"<jats:p>\n                    We study the large time behavior of solutions to the dissipative Korteweg\u2013de Vries equations u\n                    <jats:sub>t<\/jats:sub>\n                    +u\n                    <jats:sub>xxx<\/jats:sub>\n                    +|D|\n                    <jats:sup>\u03b1<\/jats:sup>\n                    u+uu\n                    <jats:sub>x<\/jats:sub>\n                    =0 with 0&lt;\u03b1&lt;2. We find asymptotic expansions of the solution as t\u2192\u221e in various Sobolev norms.\n                  <\/jats:p>","DOI":"10.3233\/asy-2010-0988","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:12:02Z","timestamp":1575054722000},"page":"155-186","source":"Crossref","is-referenced-by-count":4,"title":["Asymptotic behavior of solutions to dissipative Korteweg\u2013de Vries equations"],"prefix":"10.1177","volume":"68","author":[{"given":"St\u00e9phane","family":"Vento","sequence":"first","affiliation":[{"name":"Laboratoire d'Analyse et de Math\u00e9matiques Appliqu\u00e9es, Universit\u00e9 Paris-Est, 5 bd. Descartes, Cit\u00e9 Descartes, Champs-Sur-Marne, 77454 Marne-La-Vall\u00e9e Cedex 2, France. E-mail: stephane.vento@univ-paris-est.fr"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2010,6,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2010-0988","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2010-0988","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:39:05Z","timestamp":1777379945000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-2010-0988"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,6]]},"references-count":0,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2010,6]]}},"alternative-id":["10.3233\/ASY-2010-0988"],"URL":"https:\/\/doi.org\/10.3233\/asy-2010-0988","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,6]]}}}