Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4617667 | Journal of Mathematical Analysis and Applications | 2012 | 11 Pages |
Abstract
In this paper, we study the zero dissipation limit problem for the one-dimensional compressible Navier–Stokes equations. We prove that if the solution of the inviscid Euler equations is piecewise constants with a contact discontinuity, then there exist smooth solutions to the Navier–Stokes equations which converge to the inviscid solution away from the contact discontinuity at a rate of as the heat-conductivity coefficient κ tends to zero, provided that the viscosity μ is higher order than the heat-conductivity κ or the same order as κ. Here we have no need to restrict the strength of the contact discontinuity to be small.
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