DIFFUSIVE—DISPERSIVE TRAVELING WAVES AND KINETIC RELATIONS IV. COMPRESSIBLE EULER EQUATIONS-中国期刊网

摘要 TheauthorsconsidertheEulerequationsforacompressiblefluidinonespacedimensionwhentheequationofstateofthefluiddoesnotfulfillstandardconvexityassumptionsandviscosityandcapillarityeffectsaretakenintoaccount.Atypicalexampleofnonconvexcon-stitutiveequationforfluidsisVanderWaals'equation.Thefirstordertermsofthesepartialdifferentialequationsformanonlinearsystemofmixed(hyperbolic-elliptic)type.Foraclassofnonconvexequationsofstate,anexistencetheoremoftravelingwavessolutionswitharbitrarylargeamplitudeisestablishedhere.Theauthorsdistinguishbetweenclassical(compressive)andnonclassical(undercompressive)travelingwaves.ThelatterdonotfulfillLaxshockinequali-ties,andarecharacterizedbytheso-calledkineticrelation,whosepropertiesareinvestigatedinthispaper.

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DIFFUSIVE—DISPERSIVE TRAVELING WAVES AND KINETIC RELATIONS IV. COMPRESSIBLE EULER EQUATIONS

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DIFFUSIVE—DISPERSIVE TRAVELING WAVES AND KINETIC RELATIONS IV. COMPRESSIBLE EULER EQUATIONS

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