2The Navier-Stokes and Euler Equations(16)
发布时间:2021-06-08
发布时间:2021-06-08
math
2TheNavier–StokesandEulerEquations–FluidandGasDynamics
36
References
[1]F.Bouchut,A.Mangeney-Castelnau,B.PerthameandJ.-P.Vilotte,Anew
modelofSaintVenantandSavage–Huttertypeforgravitydrivenshallowwater ows,C.R.Acad.Sci.Paris,Ser.I336,pp.531–536,2003
[2]L.Caffarelli,R.Kohn,andL.Nirenberg,Partialregularityofsuitableweak
solutionsoftheNavier–Stokesequations,Comm.Pure&Appl.Math.35,pp.771–831,1982
[3]C.Cercignani,TheBoltzmannequationanditsApplication,Springer-Verlag,
1988
[4]J.-F.GerbeauandB.Pertame,DerivationofviscousSaint–Venantsystemfor
laminarshallowwater;numericalvalidation.INRIARR-4084
[5]P-L.Lions,MathematicalTopicsinFluidDynamics,Vol.2,Compressible
Models,OxfordSciencePublication,1998
[6]dyzhenskaya,TheMathematicalTheoryofViscousIncompressibleFlows
(2ndedition),GordonandBreach,1969
[7]J.Smoller,ShockWavesandReaction-DiffusionEquations,(secondedition),
Springer-Verlag,Vol.258,GrundlehrenSeries,1994
[8]R.DiPerna,ConvergenceoftheViscosityMethodforIsentropicGasDynamics,
Comm.Math.Phys.,Vol.91,Nr.1,1983