Dissipation Limit for the Compressible Navier-Stokes to Euler Equations in One-Dimensional Domains ()
ABSTRACT
We prove that as the viscosity and heat-conductivity
coefficients tend to zero, respectively, the
global solution of the Navier-Stokes equations for one-dimensional compressible heat-conducting fluids with centered rarefaction data of small
strength converges to the centered rarefaction wave solution of the
corresponding Euler equations uniformly away from the initial discontinuity.
Share and Cite:
Cui, S. (2018) Dissipation Limit for the Compressible Navier-Stokes to Euler Equations in One-Dimensional Domains.
Journal of Applied Mathematics and Physics,
6, 2142-2158. doi:
10.4236/jamp.2018.610180.
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