廣義Kirchhoff和Boussinesq方程解的動力性質(zhì).pdf

1、928239镕g——＆Ⅲ一四川師范大學碩士學位論文廣義4Jrcbhorf和Boussiaesq方程解的動力性質(zhì)黃文毅培養(yǎng)單位一四刖鰻整主生塹堂當撻性型堂堂院指導教師戇緝盛職稱—盟籃———一專業(yè)名稱—蒸—盟—數(shù)—堂—一一—一研究方向—監(jiān)L垡—盞—王L』量一————授予學位日期一———jE———且一一巳一■ThedynamicsofKirchhoffand●一●’solutions[orgeneralizedBoussinesqequati

2、onsBasicMathematicsAuthor：WenyiHuangSupervisor：ShaoyongLaiAbstract：0neoftbeaimsofthisstudyiStodevelopthewell—posednessandtheuniformdecayrateofenergyforcoupledwaveequationsofKirchhofftypewithnonlinearboundar3，dampingandme

3、morysourcetermForthedampedKirchhoffequa，tion，theoscillationsolutionhasbeenfoundtobedecaiedexponentiallyintimeasf_ooSecondly，basedOnthestudyofviscousBoussinesqequations，anum—beroftheoremsfob’theexistenceanduniquenessofsol

4、utionstoinitialvalueproblemassociatedwiththeequationshavebeendevelopedTheresultsfromtheanalysisofviscousBoussinesqequationsinvestigatedinchapter3hasextendedthecorrespondingtheoremsinYThomasandLiCongming[1a]Keywords：Unifo