加權(quán)局部化源耦合的反應(yīng)擴(kuò)散系統(tǒng)的漸近分析.pdf

1、大連理工大學(xué)碩士學(xué)位論文加權(quán)局部化源耦合的反應(yīng)擴(kuò)散系統(tǒng)的漸近分析姓名：單聰聰申請學(xué)位級別：碩士專業(yè)：基礎(chǔ)數(shù)學(xué)指導(dǎo)教師：鄭斯寧20070601塑壑旦塑叢堡塑全塑墾堡數(shù)墼墨笙塑翌避僉塹AsymptoticAnalysisteactiondiffusionSystemsCoupledviaWeightedLocalizedSourcesAbstractInthisthesis，wemainlyconsiderthereactiondiffus

2、ionsystemscoupledviaweightedlocalied80Ilr啷subjecttohomogeneousDirichletconditionsandnonegativeinitialdataWeprovetheglobal扔觸脹andnonglobalexistenceofthesolutionsInparticular，嘲giveapreciseanalysisOntheasymptoticbehaviorofso

3、lutions：ulli￡onnblowuprateandblowupset。Wegivethebackgroundoftheparabolicsystemintheintroduction，andreviewsomebasicknowledgeoftheparabolicequation(system)inChapter2InChapter3，wegettheglobal鄹商吐㈣andblowupcriteriaforthesolut

4、ions。搬Chapter4，5and6，耽studythesingularity躐deeplytogettheblowupsetanduniformblowuprate，respective2y翻∞blowupsetconsistsofthewholedomainKeyWords：LocalizednonlinearSOUrCe；Reactlondiffusionsystem；Blowupset；UniformblowuprateII