We prove existence of weak solutions to the compressible Navier-Stokes system in barotropic regime (adiabatic coefficient 훾 > 3/2, in three dimensions, 훾 > 1 in two dimensions) with large velocity prescribed at the boundary and large density prescribed at the inflow boundary of a bounded Lipschitz piecewise regular 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 the interval [0, ∞).
|Number of pages||25|
|Journal||ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik|
|Publication status||Published - 2018 Aug|
All Science Journal Classification (ASJC) codes
- Computational Mechanics
- Applied Mathematics