Stochastically forced compressible Navier-Stokes equations with slip boundary conditions of friction type

We study a mathematical model of a compressible viscous fluid driven by stochastic forces under slip boundary conditions of friction type. We introduce a notion of a weak solution that is analytically and probabilistically consistent with this model. Our main result establishes the existence of such weak solutions under slip boundary conditions on bounded domains with $C^{2+\nu }$-boundary ($\nu >0$). The proof of this result combines an extended version of the four-layer approximation scheme on the torus by Breit/Feireisl/Hofmanová (2018) with the convex approximation method for absolute value functions studied by Nečasová/Ogorzaly/Scherz (2023).