{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T21:43:34Z","timestamp":1648935814014},"reference-count":19,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Hyper. Differential Equations"],"published-print":{"date-parts":[[2007,6]]},"abstract":"<jats:p>The existence and the properties of isolated solutions to the relativistic Vlasov\u2013Maxwell system with initial data on the backward hyperboloid [Formula: see text] are investigated. Isolated solutions of Vlasov\u2013Maxwell can be defined by the condition that the particle density is compactly supported on the initial hyperboloid and by imposing the absence of incoming radiation on the electromagnetic field. Various consequences of the mass-energy conservation laws are derived by assuming the existence of smooth isolated solutions which match the inital data. In particular, it is shown that the mass-energy of isolated solutions on the backward hyperboloids and on the surfaces of constant proper time are preserved and equal, while the mass-energy on the forward hyperboloids is non-increasing and uniformly bounded by the mass-energy on the initial hyperboloid. Moreover the global existence and uniqueness of classical solutions in the future of the initial surface is established for the one-dimensional version of the system.<\/jats:p>","DOI":"10.1142\/s0219891607001136","type":"journal-article","created":{"date-parts":[[2007,5,23]],"date-time":"2007-05-23T08:49:11Z","timestamp":1179910151000},"page":"267-294","source":"Crossref","is-referenced-by-count":1,"title":["A MATHEMATICAL THEORY OF ISOLATED SYSTEMS IN RELATIVISTIC PLASMA PHYSICS"],"prefix":"10.1142","volume":"04","author":[{"given":"SIMONE","family":"CALOGERO","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1tica para a Ci\u00eancia e Tecnologia, Campus de Azur\u00e9m da Universidade do Minho, 4800-058 Guimar\u00e3es, Portugal"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0396(77)90049-3"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-006-0015-3"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-003-0265-6"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1512\/iumj.2004.53.2433"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1007\/s00023-004-0165-9"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1007\/s00023-005-0248-2"},{"key":"rf8","first-page":"729","volume":"52","author":"DiPerna R. J.","journal-title":"Commun. Pure Appl. Math."},{"key":"rf9","doi-asserted-by":"crossref","first-page":"103","DOI":"10.3934\/cpaa.2002.1.103","volume":"1","author":"Klainerman S.","journal-title":"Commun. Pure Appl. Anal."},{"key":"rf10","first-page":"691","volume":"4","author":"Filbet F.","journal-title":"Quart. Appl. Math."},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1007\/BF01210740"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1007\/BF01218078"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1002\/mma.1670130207"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1007\/s002200050090"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1007\/BF00250732"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1007\/BF01223511"},{"key":"rf17","first-page":"1","volume":"1","author":"Kunzinger M.","journal-title":"Electron. J. Differential Equations"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1142\/S0219891605000403"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1007\/BF02097656"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.3160370404"}],"container-title":["Journal of Hyperbolic Differential Equations"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219891607001136","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,22]],"date-time":"2020-04-22T07:24:00Z","timestamp":1587540240000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219891607001136"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,6]]},"references-count":19,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2007,6]]}},"alternative-id":["10.1142\/S0219891607001136"],"URL":"https:\/\/doi.org\/10.1142\/s0219891607001136","relation":{},"ISSN":["0219-8916","1793-6993"],"issn-type":[{"value":"0219-8916","type":"print"},{"value":"1793-6993","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,6]]}}}