内容简介
PhysicsandPortialDifferentialEquations,Volume//proceedsdirectlyfromVolumeIwithfiveadditionalchaptersthatbridgephysicsandappliedmathematicsinamannerthatiseasilyaccessibletoreaderswithanundergraduate-levelbackgroundinthesedisciplines.Readerswhoaremorefamiliarwithmathematicsthanphysicswilldiscovertheconnectionbetweenvariousphysicalandmechanicaldisciplinesandtheirrelatedmathematicalmodels,whicharedescribedbypartialdifferentialequations(PDEs).Theauthorsestablishthefundamentalequationsforfieldssuchas·electrodynamics;·fluiddynamics,magnetohydrodynamics,andreactingfluiddynamics;·elastic,thermoelastic,andviscoelasticmechanics;·thekinetictheoryofgases;·specialrelativity;and·quantummechanicsReaderswhoaremorefamiliarwithphysicsthanmathematicswillbenefitfromindepthexplanationsofhowPDEsworkaseffectivemathematicaltoolstomoreclearlyexpressandpresentthebasicconceptsofphysicsThebookdescribesthemathematicalstructuresandfeaturesofthesePDEs,including·thetypesandbasiccharacteristicsoftheequations,·thebehaviorofsolutions,and·somecommonlyusedapproachestosolvingPDEs.Eachchaptercanbereadindependentlyandincludesexercisesandreferences.UsedaloneorinconjunctionwithVolumeI,thisbookisappropriateasatextbookforupper-levelundergraduateandgraduatecoursesandcanalsoserveasareferenceforresearchersinapplicationareasthatusePDEsandinphysicalandnrechanicaldisciplines.