Abstract

In this paper, we study the combined low Mach number and the relaxation limits of the isentropic compressible Navier–Stokes equations with revised Maxwell’s law satisfying Galilean invariance. It is shown that, for the ill-prepared initial data, the solutions of the relaxed compressible Navier–Stokes equations converge to that of the incompressible Navier–Stokes equations as the Mach number and relaxation parameters tend to zero.

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