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Compressible Navier-Stokes system with general inflow-outflow boundary data

Abstract : We 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, ∞).
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Submitted on : Monday, April 2, 2018 - 10:54:32 PM
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Tongkeun Chang, B Jin, Antonin Novotny. Compressible Navier-Stokes system with general inflow-outflow boundary data. SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2019, 51 (2), pp.1238-1475. ⟨hal-01756728⟩

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