帶時(shí)滯金茲堡-朗道方程平衡解的漸近性態(tài).pdf

1、南京師范大學(xué)碩士學(xué)位論文帶時(shí)滯金茲堡朗道方程平衡解的漸近性態(tài)姓名：張海霞申請(qǐng)學(xué)位級(jí)別：碩士專(zhuān)業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：高洪俊20080101AbstraetAbstractThispapermainlyinvestigatessomeresultsofthestabilityoftheconstantequilibriumsolutionofthereal(complex)Ginzburg—LandauequationwithdelayTh

2、isinvestigationcontainstheproblemsoflocalexistenceanduniquenessofsolutions，globalexistence，ereInchapter1，weconsiderthelocalexistence，globalexistenceanduniquenessofthesolutionInchapter2，thestabilityanalysisoftheconstanteq

3、uilibriumsolutionoftherealGinzburgLandauequationwithdelayinDirichetboundaryconditionandNeumannboundaryconditionisobtainedviaspectralanalysis。。Inchapter3，weinvestigatetheasymptoticbehaviorofconstantequilibriumsolutionsoft

4、hecomplexGinzburgLandauequationwithdelayandgetthedifferentresultsfordifferent嘻，Q，8Keywords：real(complex)Ginzburg—Landauequation；delay；linearlyandnonlinearlystable；linearlyandnonlinearlyunstable；constantequi—libriumsoluti