The goal of the book is to develop a mathematical theory of open fluid systems in the
framework of continuum thermodynamics. By open we mean actively interacting with the …

We consider global in time solutions of the Navier–Stokes–Fourier system describing the
motion of a general compressible, viscous and heat conducting fluid far from equilibirum …

The paper deals with the problem of the motion of a rigid body in a domain filled by the
compressible fluid. We consider the nonhomogeneous boundary condition of the velocity …

We study free boundary compressible viscous models that may include nonlinear
viscosities. These are compressible/incompressible Navier-Stokes type systems for a non …

We show that certain radially symmetric steady states of compressible viscous fluids in
domains with inflow/outflow boundary conditions are unconditionally stable. This means that …

We consider the motion of compressible Navier–Stokes fluids with the hard sphere pressure
law around a rigid obstacle when the velocity and the density at infinity are nonzero. This …

We consider the barotropic Navier–Stokes system describing the motion of a viscous
compressible fluid interacting with the outer world through general in/out flux boundary …

We prove the existence of a weak solution to the compressible Navier–Stokes system with
singular pressure that explodes when density achieves its congestion level. This is a …

The article is devoted to the asymptotic limit of the compressible Navier–Stokes system with
a pressure obeying a hard–sphere equation of state on a domain expanding to the whole …

We consider the barotropic Navier--Stokes system describing the motion of a compressible
Newtonian fluid in a bounded domain with in and out flux boundary conditions. We show …