廣義超彈性桿方程解的研究.pdf

1、江蘇大學(xué)碩士學(xué)位論文廣義超彈性桿方程解的研究姓名：石敏申請學(xué)位級別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：丁丹平20081213江蘇大學(xué)碩士學(xué)位論文AbstractInthispaperwestudytheCauchyproblemoftheexistenceofthelocalsolution，theBlow—upofsolutionforthegeneralizedhyperelastic—rodequationandthecharacter

2、sofit’Ssolutiontoinitialboundaryproblem，Therearethreesectionsinthispaper：Thefirstsection，wewillintroducethebackgroundandactualityandsummerizethemainresultsThesecondsection，weconsidertheCauchyproblemofthegeneralizedhypere

3、lasticrodequation，WimKato’Smethodforabstractquasilin—eatevolutionequationsandapriorestimates，wegettheexistenceofthelocalsolution，theBlow—upofsolutionandit’SexactblowuprateFinallyweconsidertheinitialboundaryproblemofthege

4、neralmedhyperelastic—rodequationtheexistenceofglobalsolution，H1globalexponentialstabilityandH2globalasymptoticstabilityateobtainedinthissectionKeyWords：thegeneralizedhyperelastic—rodequation；theinitialboundaryproblem；glo