等熵相对论euler方程组带一类大初值的cauchy问题的整体熵解

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16、ationswithaclassofLargeInitialDataAbstractWhenweresearchthefluidsmovement,theclassicalhydrodynamicsisinthedominantpositionifthespeedoffluidsorthebaryonislessthanthelightspeed;whenthespeedoffluidsortheaveragespeedofbaryonisclosetothelightspeed,therelativisticeffectis

17、notignored.Atthispointtheclassicalequationsofhydrodynamicsnolongersetup,andshouldbereplacedbyrelativistichydrodynamics(cf[43,44,45]).Relativisticfluiddynamicsareaneffectresearchtoolinastrophysics,plasmaphysics,nuclearphysicsandsoon.Einsteinproposedthetaskofresearc

18、hingthefluidmovementwhenhecreatedthetheoryoftherelativity.Buttherealresearchforrelativistichydrodynamicsequationswasverylate.Until1970,thefirstinternationalseminarrelativistichydrodynamicswasheld.Sincethen,becauseofplasmaphysicsandnuclearphysicsrequirementsforthed

19、evelopment,theresearchoftherelativistichydrodynamicsequationshasmadesignificantprogress.Infact,therelativistichydrodynamicsequationssystemisagoodmathematicalmodelvþ°ÏÆa¬ÆØ©ofhigh-energyastrophysicsplasma.Now,itisusedinanalysisofnuclearphysics’heavyionreaction.Ho

20、wever,asdifferentinmathematicalproblems,thestudyisnotmatureinmathematicsaboutrelativistichydrodynamics.Mathematicianatpresentmainlystudytheexistofsolutionandthestateof