We prove the existence of a weak solution to the compressible Navier–Stokes system with hard sphere possibly non-monotone pressure law involving, in particular, the Carnahan–Starling model  largely employed in various physical and industrial applications. We take into account large velocities prescribed at the boundary of a bounded piecewise C2 domain and large densities prescribed at the inflow boundary without any restriction neither on the shape of the inflow/outflow boundaries nor on the shape of the domain.
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All Science Journal Classification (ASJC) codes
- Applied Mathematics