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, ∞).
https://hal-univ-tln.archives-ouvertes.fr/hal-01756728 Contributor : antonin novotnyConnect in order to contact the contributor Submitted on : Monday, April 2, 2018 - 10:54:32 PM Last modification on : Tuesday, December 7, 2021 - 3:16:02 PM
Tongkeun Chang, B J 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⟩