For small viscosity and small wave strengths, the authors construct global smooth Navier-Stokes solutions that converge with explicit rates to the entropy solution of the Euler equations through two interacting same-family shocks.
The one-dimensional Cauchy problem.Oxford Univer- sity Press, Oxford, 2000
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Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations
For small viscosity and small wave strengths, the authors construct global smooth Navier-Stokes solutions that converge with explicit rates to the entropy solution of the Euler equations through two interacting same-family shocks.