Analysis and Simulation of Fluid Dynamics

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*OHN' (EYWOOD $EPARTMENTOF-ATHEMATICS 5NIVERSITYOF"RITISH#OLUMBIA 6ANCOUVER"# #ANADA649 E MAIL HEYWOOD MATHUBCCA

2OLF2ANNACHER )NSTITUTFàR!NGEWANDTE-ATHEMATIK 5NIVERSITËT(EIDELBERG )M.EUENHEIMER&ELD (EIDELBERG 'ERMANY E MAIL RANNACHER IWRUNI HEIDELBERGDE

!DVANCESIN-ATHEMATICAL&LUID-ECHANICS ISAFORUMFORTHEPUBLICATIONOFHIGHQUALITYMONOGRAPHS ORCOLLECTIONS OFWORKS ON THEMATHEMATICAL THEORY OFFLUID MECHANICS WITH SPECIAL REGARDS TO THE .AVIER 3TOKES EQUATIONS )TS MATHEMATICALAIMSANDSCOPEARESIMILARTOTHOSEOFTHE*OURNALOF-ATHEMATICAL&LUID-ECHANICS )NPARTICULAR MATHEMATICALASPECTSOFCOMPUTATIONALMETHODSANDOFAPPLICATIONSTOSCIENCEANDENGINEERINGAREWELCOMEASAN IMPORTANTPARTOFTHETHEORY 3OALSOAREWORKSINRELATEDAREASOFMATHEMATICSTHATHAVEADIRECTBEARINGONFLUID MECHANICS 4HEMONOGRAPHSANDCOLLECTIONSOFWORKSPUBLISHEDHEREMAYBEWRITTENINAMOREEXPOSITORYSTYLETHANISUSUALFOR RESEARCHJOURNALS WITHTHEINTENTIONOFREACHINGAWIDEAUDIENCE #OLLECTIONSOFREVIEWARTICLESWILLALSOBESOUGHT FROMTIMETOTIME

Analysis and #ONTRIBUTIONSTO#URRENT #HALLENGESIN-ATHEMATICAL Simulation of Fluid &LUID-ECHANICS Dynamics 'IOVANNI0 'ALDI Caterina Calgaro *OHN' (EYWOOD Jean-François Coulombel 2OLF2ANNACHER Thierry Goudon %DITORS Editors

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%DITORS Editors: 'IOVANNI0 'ALDI Caterina Calgaro 3CHOOLOF%NGINEERING Jean-François Coulombel $EPARTMENTOF-ECHANICAL%NGINEERING Thierry Goudon 5NIVERSITYOF0ITTSBURGH Laboratoire Paul Painleve, UMR 8524 /(ARA3TREET CNRS-Université des Sciences et Techno. 0ITTSBURGH 0! F-59655 Villeneuve d’Ascq cedex 53! France E MAIL GALDI ENGRNGPITTEDU e-mail: [email protected] [email protected] 2OLF2ANNACHER [email protected] )NSTITUTFàR!NGEWANDTE-ATHEMATIK 5NIVERSITËT(EIDELBERG )M.EUENHEIMER&ELD (EIDELBERG 'ERMANY E MAIL RANNACHER IWRUNI HEIDELBERGDE

*OHN' (EYWOOD $EPARTMENTOF-ATHEMATICS 5NIVERSITYOF"RITISH#OLUMBIA 6ANCOUVER"# #ANADA649 E MAIL HEYWOOD MATHUBCCA

2000 Mathematical Subject Classification 76-06, 65Cxx, -ATHEMATICAL3UBJECT#LASSIFICATION$ 1 68U20 .

Library of Congress Control Number: 2006937472 !#)0CATALOGUERECORDFORTHISBOOKISAVAILABLEFROMTHE ,IBRARYOF#ONGRESS 7ASHINGTON$# 53!

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ISBN 978-3-7643-7741-0 7703-8 Birkhäuser Verlag, Basel – Boston – Berlin )3".   "IRKHËUSER6ERLAG "ASELn"OSTONn"ERLIN 4HISWORKISSUBJECTTOCOPYRIGHT !LLRIGHTSARERESERVED WHETHERTHEWHOLEORPARTOFTHEMATERIALISCONCERNED SPE CIFICALLYTHERIGHTSOFTRANSLATION REPRINTING RE USEOFILLUSTRATIONS RECITATION BROADCASTING REPRODUCTIONONMICRO FILMSORINOTHERWAYS ANDSTORAGEINDATABANKS &ORANYKINDOFUSEPERMISSIONOFTHECOPYRIGHTOWNERMUSTBE OBTAINED 2007 ¥"IRKHËUSER6ERLAG 0/ "OX #( "ASEL 3WITZERLAND 0ARTOF3PRINGER3CIENCE "USINESS-EDIA 0RINTEDONACID FREEPAPERPRODUCEDFROMCHLORINE FREEPULP 4#&d 0RIN