帶有局部化反應項和自由邊界的反應擴散系統(tǒng)的若干性質(zhì).pdf

1、目錄摘要l摘要2章引言4早jIi“41研究工作的背景及發(fā)展概況412本文的主要工作9第二章具有局部化反應項的自由邊界問題lO21問題的引入及描述1O22解的局部存在性和唯一性l123有限爆破18第三章全局快解和慢解的存在性2131全局快解2l32全局慢解23參考文獻28讀學位期間發(fā)表的學術論文目錄32致謝33揚州大學學位論文原創(chuàng)性聲明和版權使用授權書34AbstractWitllthedevelopmentofmodemsciencea

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5、tudiedtheblowupproblemsinafixedboundeddomaininonedimenslonalcaseormultipledimensionalcase，aswellasthecorrespondingCauchyproblemNow，WeconsidertheintermediatecasebetweenthecasesofboundedaIldunboulldedintervalsfreeboundaryp

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7、eebound哪problemisdifferentfromthegrowingdomainproblem，inwhichthebourldarvischangingaccordingtoaknownfunctionTomakethispresentationmorereadableandsystematic，weconcemsprim撕lywitllanonlinearreactiondiffusionmodelwithalocali

8、zedreactiontermandfreebollIldadesandmequalitativepropertiesofthesemodelsareextensivelystudiedItconsistsofthreepansInthefirStpart，wemainlyintroducethebackgroundandhistoryabouttherelated、ⅣorkThesecondpartisdevotedtoanonlin

9、earreactiondiffusionmodelwithalocalizedreactiontermandfreeboundariesinonedimensionandwemainlygivethefollowingresuIts：firstly，thelocalexlstencea11duniquenessofaclassicalsolutionisgivenOnthesecondplace，weprovethatthesoluti

10、onceasestoexistundercertainconditionsAndOURresultsindicatetlatblo、礬lpOCCURSiftheinitialdataissufficientlylargeThethirdpartmainlydealswiththeexistenceofglobalfastsolutionand鰣obalslowsolutionOurresultsshowthatwhentheinitia