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1、IFIPRI"1.1.1.IIim.1.uciI:bI"MAIfII1LMICS%%II'1'1.'I'PI.r{ti11Uads+_lMathematicalTbpl*CsillFlWdI'i'iechanicsSriElllni1`.Il11(~(H11E)russil}IuiitIelsICJIdJJBE-I,)L)LSLIONSrI'IOO(J%L(IjJJSCiE'1.f;I'LInIC'ANSMathematicalTopicsinFluidMechanicsVolume1IncompressibleModelsPierre-LouisLionsUniversityPa
2、ris-DauphineandEcolePolytechniqueCLARENDONPRESSOXFORD1996OxfordUniversityPress,WaltonStreet,OxfordOX26DPOxfordNewYorkAthensAucklandBangkokBombayCalcuttaCapeTownDaresSalaamDelhiFlorenceHongKongIstanbulKarachi(CttolaLumpurMadrasMadridMelbourneMexicoCityNairobiParisSingaporeTaipeiTokyoTorontoandass
3、ociatedcompaniesinBerlinIbadanOifd/disatrademarkofOxfordUniversityPressPublishedintheUnitedStatesbyOxfordUniversityPressInc.,NewYork©Pierre-LouisLions,1996Allrightsreserved.Nopartofthispublicationmaybereproduced,storedinaretrievalsystem,ortransmitted,inanyformorbyanymeans,withoutthepriorpermissi
4、oninwritingofOxfordUniversityPress.WithintheUK,exceptionsareallowedinrespectofanyfairdealingforthepurposeofresearchorprivatestudy,orcriticismorreview,aspermittedundertheCopyright,DesignsandPatentsAct,1988,orinthecaseofreprographicreproductioninaccordancewiththetermsoflicencesissuedbytheCopyright
5、LicensingAgency.EnquiriesconcerningreproductionoutsidethosetermsandinothercountriesshouldbesenttotheRightsDepartment,OxfordUniversityPress,attheaddressabove.Thisbookissoldsubjecttotheconditionthatitshallnot,bywayoftradeorotherwise,belent,re-sold,hiredout,orotherwisecirculatedwithoutthepublisher'
6、spriorconsentinanyformofbindingorcoverotherthanthatinwhichitispublishedandwithoutasimilarconditionincludingthisconditionbeingimposedonthesubsequentpurchaser.AcataloguerecordforthisbookisavailablefromtheBritishLibraryLibraryofCongressCataloginginPublicationData(Dataavailable)ISBN0198514875Typeset
7、bytheauthorinTEXPrintedinGreatBritainbyBookcraft(Bath)LtdMidsomerNorton,AvonPREFACEOurgoalinthisbookistopresentvariousmathematicalresultsonfluidmechanicsmodelssuchas,forinstance,Navier-Stokesequationsbothintheincompressiblec
