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1、P1:irk,jsy/spb,kcyP2:irk,jsybookcuus270-herron9780521888240June27,200814:59ThispageintentionallyleftblankiiP1:irk,jsy/spb,kcyP2:irk,jsybookcuus270-herron9780521888240June27,200814:59PARTIALDIFFERENTIALEQUATIONSINFLUIDDYNAMICSThisbookisconcernedwithpartialdifferentialequationsappliedtofluidsproblemsi
2、nscienceandengineering.Thisworkisdesignedfortwopotentialaudiences.First,thisbookcanfunctionasatextforacourseinmathematicalmethodsinfluidmechanicsinnonmathematicsdepartmentsorinmathematicsservicecourses.Theauthorshavetaughtboth.Second,thisbookisdesignedtohelpprovideseriousreadersofjournals(profession
3、als,researchers,andgraduatestudents)inanalyticalscienceandengineeringwithtoolstoexploreandextendthemissingstepsinananalysis.Thetopicschosenforthebookarethosethattheauthorshavefoundtobeofconsiderableuseintheirownresearchcareers.Thesetopicsareapplicableinmanyareas,suchasaeronauticsandas-tronautics;bi
4、omechanics;chemical,civil,andmechanicalengineering;fluidmechanics;andgeophysicalflows.Continuumideasariseinothercontexts,andthetechniquesin-cludedhaveapplicationsthereaswell.IsomH.HerronisaProfessorofMathematicalSciencesatRensselaerPolytechnicIn-stitute.AftercompletinghisPh.D.atJohnsHopkinsandapostdo
5、ctoralpositionatCaliforniaInstituteofTechnology,hewasintheMathematicsDepartmentatHowardUniversityformanyyears,andhehasheldvisitingappointmentsatNorthwesternUni-versity,UniversityofMaryland,MIT,andLosAlamosNationalLaboratory.ProfessorHerron’sresearchisinoneoftherichestareasofappliedmathematics:theth
6、eoryofthestabilityoffluidflows.Commonapplicationsaretophenomenaintheatmosphereandtheoceans,toproblemsofthemotionofshipsandaircraft,andtointernalmachinery.Modernapproachesinvolvenewtechniquesinoperatortheory,energymethods,anddynamicalsystems.Hiscurrentresearchinterestsareinstabilityofrotatingmagneto-h
7、ydrodynamicflowsandmorecomplicatedgeophysicalflows,suchasgroundwater,forwhichmathematicalmodelsarestillbeingdeveloped.MichaelR.FosterisAdjunctProfessorofMathematicalSciencesatRensselaerPoly-technicInstitutean
