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1、ThiPriAMathematicalIntroductiontoFluidMechanicsAlexandreChorinDepartmentofMathematicsUniversityofCalifornia,BerkeleyBerkeley,California94720-3840,USAJerroldE.MarsdenControlandDynamicalSystems,107-81CaliforniaInstituteofTechnologyPasadena,California91125,
2、USAiiiiiAMathematicalIntroductiontoFluidMechanicsivLibraryofCongressCataloginginPublicationDataChorin,AlexandreAMathematicalIntroductiontoFluidMechanics,ThirdEdition(TextsinAppliedMathematics)Bibliography:infrontmatterIncludes.1.Fluiddynamics(Mathematics
3、)2.Dynamics(Mathematics)I.Marsden,JerroldE.II.Title.III.Series.ISBN0-38797300-1AmericanMathematicsSociety(MOS)SubjectClassification(1980):76-01,76C05,76D05,76N05,76N15Copyright1992bySpringer-VerlagPublishingCompany,Inc.Allrightsreserved.Nopartofthispublic
4、ationmaybereproduced,storedinaretrievalsystem,ortransmitted,inanyorbyanymeans,electronic,mechanical,photocopying,recording,orotherwise,withoutthepriorwrittenpermissionofthepublisher,Springer-VerlagPublishingCompany,Inc.,175FifthAvenue,NewYork,N.Y.10010.T
5、ypesettingandillustrationspreparedbyJuneMeyermann,GregoryKubota,andWendyMcKayThecoverillustrationshowsacomputersimulationofashockdiffractionbyapairofcylinders,byJohnBell,PhillipColella,WilliamCrutchfield,RichardPember,andMichaelWelcome.Thecorrectedfourthpr
6、inting,April2000.vSeriesPrefacePage(tobeinserted)viblankpageThiPriPrefaceThisbookisbasedonaone-termcourseinfluidmechanicsoriginallytaughtintheDepartmentofMathematicsoftheUniversityofCalifornia,Berkeley,duringthespringof1978.Thegoalofthecoursewasnottoprovi
7、deanexhaustiveaccountoffluidmechanics,nortoassesstheengineeringvalueofvariousapproximationprocedures.Thegoalswere:•topresentsomeofthebasicideasoffluidmechanicsinamathemat-icallyattractivemanner(whichdoesnotmean“fullyrigorous”);•topresentthephysicalbackgrou
8、ndandmotivationforsomeconstruc-tionsthathavebeenusedinrecentmathematicalandnumericalworkontheNavier–Stokesequationsandonhyperbolicsystems;and•tointerestsomeofthestudentsinthisbeautifulanddifficultsubject.Thisthirdeditionhasi
