The goal of this review paper is to provide the reader with a concise introduction to the
mathematical theory of collision processes in (dilute) gases and plasmas, viewed as a …

We present a selective overview of the current state of our knowledge (more precisely of our
ignorance) regarding the derivation of Fourier's Law, J (r)=− κ∇ T (r); J the heat flux, T the …

This paper proves the existence of small‐amplitude global‐in‐time unique mild solutions to
both the Landau equation including the Coulomb potential and the Boltzmann equation …

In the study of the heat transfer in the Boltzmann theory, the basic problem is to construct
solutions to the following steady problem: v ⋅ ∇ _ x F= 1\rm K _\rm n Q (F, F),\qquad (x, v) ∈ …

Despite its conceptual and practical importance, a rigorous derivation of the steady
incompressible Navier–Stokes–Fourier system from the Boltzmann theory has been an …

Boundary effects play an important role in the study of hydrodynamic limits in the Boltzmann
theory. Based on a systematic study of the viscous layer equations and the L^ 2 L 2 to L^ ∞ …

A unidirectional flow of a rarefied gas between two parallel plates driven by a uniform
external force is investigated on the basis of kinetic theory with special interest in the …

This paper is concerned with approximations of the Boltzmann equation based on the
method of moments. We propose a generalization of the setting of the moment-closure …

The stationary flow of a gas in a slab under the action of a constant external force parallel to
the walls is analyzed in the context of the Bhatnagar-Gross-Krook model kinetic equation …

We consider the flow of a gas in a channel whose walls are kept at fixed (different)
temperatures. There is a constant external force parallel to the boundaries which may …