Abstract.
In the paper [7], author gives a definition of weak solution to the nonsteady Navier–Stokes system of equations which describes compressible and isentropic flows in some bounded region Ω with influx of fluid through a part of the boundary ∂Ω. Here, we present a way for proving existence of such solutions in the same situation as in [7] under the sole hypothesis γ > 3/2 for the adiabatic constant.
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Novo, S. Compressible Navier–Stokes Model with Inflow-Outflow Boundary Conditions. J. math. fluid mech. 7, 485–514 (2005). https://doi.org/10.1007/s00021-005-0178-2
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DOI: https://doi.org/10.1007/s00021-005-0178-2