We consider the zero dissipation limit of the full compressible Navier-Stokes equations with a Riemann initial data for the superposition of two rarefaction waves and a contact discontinuity. It is proved that for any suitably small viscosity epsilon and heat conductivity. satisfying the relation (1.3), there exists a unique global piecewise smooth solution to the compressible Navier-Stokes equations. Moreover, as the viscosity e tends to zero, the Navier-Stokes solution converges uniformly to the Riemann solution of superposition of two rarefaction waves and a contact discontinuity to the corresponding Euler equations with the same Riemann initial data away from the initial line t = 0 and the contact discontinuity located at x = 0.
机构:
Institute of Mathematics, State Academy of Sciences,Pyongyang, D P R KoreaInstitute of Mathematics, State Academy of Sciences,Pyongyang, D P R Korea
机构:
Institute of Mathematics, State Academy of Sciences,Pyongyang, D P R KoreaInstitute of Mathematics, State Academy of Sciences,Pyongyang, D P R Korea
Hakho HONG
王腾
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机构:
Department of Mathematics, School of Science, Beijing ForestryInstitute of Mathematics, State Academy of Sciences,Pyongyang, D P R Korea