It is shown that the anelastic Oberbeck-Boussinesq system is a small Mach, small Péclet and small Froude number limit of the complete Navier-Stokes-Fourier system for gases with large specific heat… (More)

We investigate the Navier-Stokes-Fourier system describing the motion of a compressible, viscous and heat conducting fluid on large class of unbounded domains with no slip and slip boundary… (More)

We study steady compressible Navier–Stokes–Fourier system in a bounded three– dimensional domain. Considering a general pressure law of the form p = (γ − 1)̺e, we show existence of a variational… (More)

This paper is a continuation of our work [7]. We investigate steady transport equation λ z + w · ∇z + a z = f , λ > 0 , in various domains (bounded or unbounded) with sufficiently smooth compact or… (More)

We derive an a priori error estimate for the numerical solution obtained by time and space dis-cretization by the finite volume/finite element method of the barotropic Navier–Stokes equations. The… (More)

We consider the motion of a compressible viscous fluid in the asymptotic regime of low Mach and high Reynolds numbers under strong stratification imposed by a conservative external force. Assuming a… (More)

Over the last ten years, a great interest has been devoted to the study of the Navier-Stokes equations in exterior domains for the incompressible case (see e.g. [3], [4], [8], [9], [10], [14], [15],… (More)

These Lecture Notes are devoted to some aspects of the theory of the Navier-Stokes-Fourier system. We shall discuss 1) existence of weak solutions, 2) existence of suitable weak solutions and… (More)

We define and investigate variational (weak) solutions of the initial-boundary-value problem for the Navier–Stokes–Fourier system with the general pressure law. We prove that the set of these… (More)