Inhomogeneous boundary value problems for compressible Navier-Stokes and transport equations

Pavel I. Plotnikov (1) , Evgenya V. Ruban (1) , Jan Sokolowski (2)

1 Lavryentyev Institute of Hydrodynamics
2 IECN - Institut Élie Cartan de Nancy

In the paper compressible, stationary Navier-Stokes eqautions are considered. A framework for analysis of such equations is established. The well-posedness for homogeneous boundary value problems of elliptic-hyperbolic type is shown.

Mots clés: compressible Navier-Stokes equations; transport equations; Bergman projection; incompressible limit

Domaines: Equations aux dérivées partielles [math.AP]

Pavel I. Plotnikov, Evgenya V. Ruban, Jan Sokolowski. Inhomogeneous boundary value problems for compressible Navier-Stokes and transport equations. 2007. ⟨hal-00198831⟩