{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T07:59:19Z","timestamp":1776844759770,"version":"3.51.2"},"reference-count":60,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Math. Anal."],"published-print":{"date-parts":[[2012,1]]},"DOI":"10.1137\/11081986x","type":"journal-article","created":{"date-parts":[[2012,3,8]],"date-time":"2012-03-08T23:22:05Z","timestamp":1331248925000},"page":"651-681","source":"Crossref","is-referenced-by-count":30,"title":["Characterization of Radially Symmetric Finite Time Blowup in Multidimensional Aggregation Equations"],"prefix":"10.1137","volume":"44","author":[{"given":"Andrea L.","family":"Bertozzi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"John B.","family":"Garnett","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Thomas","family":"Laurent","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"351","reference":[{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1016\/j.anihpc.2010.11.006"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.20223"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1080\/03605307908820117"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/24\/6\/001"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1007\/s002110050002"},{"key":"R7","doi-asserted-by":"crossref","first-page":"615","DOI":"10.1051\/m2an\/1997310506151","volume":"31","author":"Benedetto D.","year":"1997","journal-title":"RAIRO Mod\u00e9l. Math. Anal. Num\u00e9r."},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.4310\/CMS.2010.v8.n1.a4"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/22\/3\/009"},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-007-0288-1"},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.20334"},{"key":"R13","doi-asserted-by":"publisher","DOI":"10.3934\/cpaa.2010.9.1617"},{"key":"R14","first-page":"179","volume":"23","author":"Biler P.","year":"1995","journal-title":"Appl. Math."},{"key":"R15","doi-asserted-by":"publisher","DOI":"10.1137\/S0036139996313447"},{"key":"R16","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.20225"},{"key":"R18","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2005.07.025"},{"key":"R19","doi-asserted-by":"publisher","DOI":"10.1016\/S0362-546X(99)00399-5"},{"key":"R20","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.3160440402"},{"key":"R21","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/12\/4\/320"},{"key":"R22","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2006.04.002"},{"key":"R23","doi-asserted-by":"publisher","DOI":"10.3934\/nhm.2008.3.749"},{"key":"R24","doi-asserted-by":"publisher","DOI":"10.1215\/00127094-2010-211"},{"key":"R25","doi-asserted-by":"crossref","first-page":"1","DOI":"10.4171\/rmi\/376","volume":"19","author":"Carrillo J.A.","year":"2003","journal-title":"Rev. Mat. Iberoamericana","ISSN":"https:\/\/id.crossref.org\/issn\/0213-2230","issn-type":"print"},{"key":"R26","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-005-0386-1"},{"key":"R28","doi-asserted-by":"publisher","DOI":"10.1142\/S0218202511005131"},{"key":"R30","doi-asserted-by":"publisher","DOI":"10.1090\/S0894-0347-1991-1102579-6"},{"key":"R31","first-page":"59","volume":"1","author":"Diperna R.","year":"1988","journal-title":"J. Amer. Math. Soc.","ISSN":"https:\/\/id.crossref.org\/issn\/0894-0347","issn-type":"print"},{"key":"R32","doi-asserted-by":"publisher","DOI":"10.1016\/j.crma.2004.08.011"},{"key":"R33","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-011-1237-6"},{"key":"R34","doi-asserted-by":"publisher","DOI":"10.1137\/110820427"},{"key":"R35","doi-asserted-by":"publisher","DOI":"10.1137\/S0036141002408009"},{"key":"R36","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.50.1126"},{"key":"R38","doi-asserted-by":"publisher","DOI":"10.1007\/BF02392620"},{"key":"R39","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2003.809765"},{"key":"R41","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2006.07.010"},{"key":"R42","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.95.226106"},{"key":"R44","doi-asserted-by":"publisher","DOI":"10.1137\/090774495"},{"key":"R45","doi-asserted-by":"publisher","DOI":"10.3934\/dcdsb.2012.17.1309"},{"key":"R47","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.84.015203"},{"key":"R48","doi-asserted-by":"publisher","DOI":"10.1080\/03605300701318955"},{"key":"R50","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-008-0669-0"},{"key":"R51","doi-asserted-by":"publisher","DOI":"10.1016\/j.aim.2008.10.016"},{"key":"R52","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-004-0307-8"},{"key":"R53","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.2010.27.301"},{"key":"R54","doi-asserted-by":"publisher","DOI":"10.2307\/2007032"},{"key":"R55","doi-asserted-by":"crossref","first-page":"121","DOI":"10.3934\/dcds.2000.6.121","volume":"6","author":"Lin F.","year":"2000","journal-title":"Discrete Contin. Dyn. Syst.","ISSN":"https:\/\/id.crossref.org\/issn\/1078-0947","issn-type":"print"},{"key":"R58","doi-asserted-by":"publisher","DOI":"10.1016\/j.anihpc.2004.07.002"},{"key":"R59","doi-asserted-by":"publisher","DOI":"10.1016\/j.matpur.2006.01.005"},{"key":"R60","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-07-04309-7"},{"key":"R61","doi-asserted-by":"publisher","DOI":"10.1006\/aima.1997.1634"},{"key":"R62","doi-asserted-by":"publisher","DOI":"10.1007\/s002850050158"},{"key":"R63","doi-asserted-by":"publisher","DOI":"10.1007\/s00285-004-0279-1"},{"key":"R64","doi-asserted-by":"publisher","DOI":"10.1007\/s002050100139"},{"key":"R65","doi-asserted-by":"crossref","first-page":"533","DOI":"10.4310\/MAA.2002.v9.n4.a4","volume":"9","author":"Poupaud F.","year":"2002","journal-title":"Methods Appl. Anal.","ISSN":"https:\/\/id.crossref.org\/issn\/1073-2772","issn-type":"print"},{"key":"R66","doi-asserted-by":"crossref","first-page":"561","DOI":"10.1016\/S0012-9593(00)00122-1","volume":"33","author":"Sandier E.","year":"2000","journal-title":"Ann. Sci. \u00c9cole Norm. Sup.","ISSN":"https:\/\/id.crossref.org\/issn\/0012-9593","issn-type":"print"},{"key":"R68","doi-asserted-by":"publisher","DOI":"10.1137\/110819883"},{"key":"R69","doi-asserted-by":"publisher","DOI":"10.1137\/S0036139903437424"},{"key":"R70","doi-asserted-by":"publisher","DOI":"10.1007\/s11538-006-9088-6"},{"key":"R71","doi-asserted-by":"publisher","DOI":"10.1051\/m2an:2000127"},{"key":"R76","first-page":"1032","volume":"3","author":"Yudovich V.I.","year":"1963","journal-title":"Zh. Vychisl. Mat. Mat. Fiz","ISSN":"https:\/\/id.crossref.org\/issn\/0044-4669","issn-type":"print"},{"key":"R77","doi-asserted-by":"publisher","DOI":"10.1007\/BF02104122"}],"container-title":["SIAM Journal on Mathematical Analysis"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/11081986X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,4,21]],"date-time":"2024-04-21T07:18:40Z","timestamp":1713683920000},"score":1,"resource":{"primary":{"URL":"http:\/\/epubs.siam.org\/doi\/10.1137\/11081986X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,1]]},"references-count":60,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["10.1137\/11081986X"],"URL":"https:\/\/doi.org\/10.1137\/11081986x","relation":{},"ISSN":["0036-1410","1095-7154"],"issn-type":[{"value":"0036-1410","type":"print"},{"value":"1095-7154","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,1]]}}}