https://hal-univ-tln.archives-ouvertes.fr/hal-01756728Chang, TongkeunTongkeunChangYonsei UniversityJin, BBJinNovotny, AntoninAntoninNovotnyIMATH - Institut de Mathématiques de Toulon - EA 2134 - UTLN - Université de ToulonCompressible Navier-Stokes system with general inflow-outflow boundary dataHAL CCSD2019inhomogeneous boundary conditionsCompressible Navier–Stokes systemweak solutionsrenormalized continuity equationlarge inflowlarge outflow *[MATH] Mathematics [math][MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP]novotny, antonin2018-04-02 22:54:322021-12-07 15:16:022018-04-24 11:39:27enJournal articlesapplication/pdf1We prove existence of weak solutions to the compressible Navier-Stokes equations in barotropic regime (adiabatic coefficient γ > 3/2, in three dimensions, γ > 1 in two dimensions) with large velocity prescribed at the boundary and large density prescribed at the inflow boundary of a bounded sufficiently smooth domain, without any restriction neither on the shape of the inflow/outflow boundaries nor on the shape of the domain. The result applies also to pressure laws that are non monotone on a compact portion of interval [0, ∞).