On the Existence of Weak Solutions to the Steady Compressible Navier–Stokes Equations in Domains with Conical Outlets

Abstract.

We investigate the steady compressible Navier–Stokes system of equations in the isentropic regime in a domain with several conical outlets and with prescribed pressure drops. Existence of weak solutions is proved and estimate of these solutions with respect to the pressure drops is derived under the hypothesis γ  >  3 where γ is the adiabatic constant.