基于淺水波方程的一類邊界最優(yōu)控制問題.pdf

1、哈爾濱工業(yè)大學(xué)碩士學(xué)位論文基于淺水波方程的一類邊界最優(yōu)控制問題姓名：范文姬申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：基礎(chǔ)數(shù)學(xué)指導(dǎo)教師：薛小平20050601哈爾濱工業(yè)大學(xué)理學(xué)碗L學(xué)位論文AbstractTheshallowwaterequationsareanimportantmathematicalmodelforavarietyofprobleminhydraulicengineeringThenumericalsolutionsfortheshal

2、lowwaterequationsystemCanbeappliedtomanypurposesForexample，theshallowwaterhydrodynamicmodelCanbecoupledtoatransportmodelinconsideringflowandtransportphenomena，thusmakingitpossibletostudyremediationoptionsforpollutedbaysa

3、ndestuaries，topredicttheimpactofcommercialprojectsonfisheries，tomodelfreshwatersaltwaterinteractions，tostudyallocationofallowabledischargesbymunicipalitiesandbyindustryinmeetingwaterqualitycontrolsAndthesesimulationsCanm

4、odeltheformationandevolutionofdelta，expansionofalluvialplain，migrationofriversonaccountofthetransportandsedimentationofsiltandsandintheestuaryareasofriversSOthatoneCanmaketheprojecttegulatethemThesedimentationindams，rive

5、rs，mouthestuariesandcoastalregionshasimportantinfluenceonenvironment，economyandevendailyactivities，especiallyinChinaThesedimentationinChangjiangRiverandHuangheRiverisveryseriousNowthebestmethodstosolvetheseproblemsareart

6、ificalsandtaking—outandtheartificialgrainfeedingTherefore，itisnaturaltoaskwhenandwheretotakesandoutinordertomakethemaximumuseofthe1imitedbudgetandhowtofeelgraintohavethebestcontroleffectThoseareoptimalcontrolproblemsZhuJ

7、iangandZengQingcunhadmadethestudyontheseproblemsBut，howtosolvethesedimentalproblemsthroughchangingtheboundaryhasnotbestudiedThispaperisstudyingonboundaryoptimalcontrolproblemsrelatedtotheshallowwaterequationsFirstlyinthi

8、spapertheexistenceandtheuniqueofshallowwaterequationssolutionwasdiscussed，andtheerrorestimatesofthesolutionwasderivedSecondlycontrolproblemsofhowtofindtheoptimalboundarysuchthatthewaterspeedchangesThecostoftheengineering