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1、ThispageintentionallyleftblankHomogenizationofCoupledPhenomenainHeterogenousMediaThispageintentionallyleftblankHomogenizationofCoupledPhenomenainHeterogenousMediaJean-LouisAuriaultClaudeBoutinChristianGeindreauFirstpublishedinFrancein2009byHermesScience/Lavois
2、ierentitled:Homogénéisationdephénomènescouplésenmilieuxhétérogènesvolumes1et2©LAVOISIER2009FirstpublishedinGreatBritainandtheUnitedStatesin2009byISTELtdandJohnWiley&Sons,Inc.Apartfromanyfairdealingforthepurposesofresearchorprivatestudy,orcriticismorreview,aspe
3、rmittedundertheCopyright,DesignsandPatentsAct1988,thispublicationmayonlybereproduced,storedortransmitted,inanyformorbyanymeans,withthepriorpermissioninwritingofthepublishers,orinthecaseofreprographicreproductioninaccordancewiththetermsandlicensesissuedbytheCLA
4、.Enquiriesconcerningreproductionoutsidethesetermsshouldbesenttothepublishersattheundermentionedaddress:ISTELtdJohnWiley&Sons,Inc.27-37StGeorge’sRoad111RiverStreetLondonSW194EUHoboken,NJ07030UKUSAwww.iste.co.ukwww.wiley.com©ISTELtd2009TherightsofJean-LouisAuria
5、ult,ClaudeBoutinandChristianGeindreautobeidentifiedastheauthorsofthisworkhavebeenassertedbytheminaccordancewiththeCopyright,DesignsandPatentsAct1988.LibraryofCongressCataloging-in-PublicationDataAuriault,J.-L.(Jean-Louis)[Homogénéisationdephénomènescouplésenmi
6、lieuxhétérogènes.English]Homogenizationofcoupledphenomenainheterogenousmedia/Jean-LouisAuriault,ClaudeBoutin,ChristianGeindreau.p.cm.Includesbibliographicalreferencesandindex.ISBN978-1-84821-161-21.Inhomogeneousmaterials--Mathematicalmodels.2.Coupledproblems(C
7、omplexsystems)3.Homogenization(Differentialequations)I.Boutin,Claude.II.Geindreau,Christian.III.Title.TA418.9.I53A95132009620.1'1015118--dc222009016650BritishLibraryCataloguing-in-PublicationDataACIPrecordforthisbookisavailablefromtheBritishLibraryISBN978-1-84
8、821-161-2PrintedandboundinGreatBritainbyCPIAntonyRowe,ChippenhamandEastbourne.ContentsMainnotations....................................17Introduction...............................