{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:45:32Z","timestamp":1777448732772,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"2","license":[{"start":{"date-parts":[[2009,2,1]],"date-time":"2009-02-01T00:00:00Z","timestamp":1233446400000},"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":[[2009,2]]},"abstract":"<jats:p>We study here the finite Larmor radius regime for the Vlasov\u2013Poisson equations with strong external magnetic field. The derivation of the limit model follows by formal expansion in power series with respect to a small parameter. If we replace the particle distribution by the center distribution of the Larmor circles the limit of these densities satisfies a transport equation, whose velocity is given by the gyro-average of the electric field. We justify rigorously the convergence towards the above model and we investigate the well-posedness of it.<\/jats:p>","DOI":"10.3233\/asy-2008-0908","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:04:10Z","timestamp":1575054250000},"page":"91-123","source":"Crossref","is-referenced-by-count":33,"title":["The Vlasov\u2013Poisson system with strong external magnetic field. Finite Larmor radius regime"],"prefix":"10.1177","volume":"61","author":[{"given":"Mihai","family":"Bostan","sequence":"first","affiliation":[{"name":"Laboratoire de Math\u00e9matiques de Besan\u00e7on, UMR CNRS 6623, Universit\u00e9 de Franche-Comt\u00e9, 16 route de Gray, 25030 Besan\u00e7on Cedex, France. E-mail: mbostan@univ-fcomte.fr"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2009,2,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2008-0908","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2008-0908","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:38:48Z","timestamp":1777379928000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-2008-0908"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,2]]},"references-count":0,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2009,2]]}},"alternative-id":["10.3233\/ASY-2008-0908"],"URL":"https:\/\/doi.org\/10.3233\/asy-2008-0908","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,2]]}}}