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1、ProgressinNonlinearDifferentialEquationsandTheirApplicationsVolume67EditorHaimBrezisUniversitePierreetMarieCurie´ParisandRutgersUniversityNewBrunswick,N.J.EditorialBoardAntonioAmbrosetti,ScuolaInternationaleSuperiorediStudiAvanzati,TriesteA.Bahri,RutgersUnive
2、rsity,NewBrunswickFelixBrowder,RutgersUniversity,NewBrunswickLuisCaffarelli,TheUniversityofTexas,AustinLawrenceC.Evans,UniversityofCalifornia,BerkeleyMarianoGiaquinta,UniversityofPisaDavidKinderlehrer,Carnegie-MellonUniversity,PittsburghSergiuKlainerman,Princ
3、etonUniversityRobertKohn,NewYorkUniversityP.L.Lions,UniversityofParisIXJeanMawhin,UniversiteCatholiquedeLouvain´LouisNirenberg,NewYorkUniversityLambertusPeletier,UniversityofLeidenPaulRabinowitz,UniversityofWisconsin,MadisonJohnToland,UniversityofBathAmandine
4、AftalionVorticesinBose–EinsteinCondensatesBirkhauser¨Boston•Basel•BerlinAmandineAftalionCNRS,LaboratoireJacques-LouisLionsUniversitePierreetMarieCurie(Paris6)´175rueduchevaleretF-75013ParisFranceAMSSubjectClassification(2000):35-02,35J60,35Q55LibraryofCongress
5、ControlNumber:2006922937ISBN-100-8176-4392-3e-ISBN0-8176-4492-XISBN-13978-0-8176-4392-8Printedonacid-freepaper.c2006BirkhauserBoston¨Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrit-tenpermissionofthepublisher(BirkhauserBosto
6、n,c/oSpringerScience¨+BusinessMediaLLC,233SpringStreet,NewYork,NY10013,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimil
7、armethodologynowknownorhereafterde-velopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarksandsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.Printedinth
8、eUnitedStatesofAmerica.(TXQ/IBT)987654321www.birkhauser.comPrefaceVorticesareoftenassociatedwithdramaticcircumstancessuchashurricanes;thistypeofvortexhasbeenstudiedextensivelyintheframewo