Turbulence models for incompressible fluids are derived from kinetic theory. The kinetic
model involves a relaxation time type collision operator which describes the relaxation of the …

This work is concerned with an extension of the classical compressible Euler model of fluid
dynamics in which the fluid internal energy is a measure-valued quantity. This model can be …

The set of smooth equilibrium solutions of a kinetic model for cometary flows is split into
equivalence classes according to similarity transformations. For each equivalence class in …

A kinetic equation with a relaxation time model for wave-particle collisions is considered.
Similarly to the BGK-model of gas dynamics, it involves a projection onto the set of …

The macroscopic dynamics of a kinetic equation involving a model wave–particle collision
operator of plasma physics (see Degond and Peyrard, CR Acad. Sci. Paris 323, 1996) is …

We study convergence to equilibrium for certain spatially inhomogenous kinetic equations,
such as discrete velocity models or a linearization of a kinetic model for cometary flow. For …

We study the Cauchy problem of a cometary flow equation with a self-generated electric
field. This kinetic model originates from the theory of astrophysical plasmas and can be …

The initial value problem of the cometary flow equation with a given external force is
investigated. By assuming that the initial microscopic density has finite mass and finite …

The Cauchy problem of a nonlinear kinetic equation modeling the time evolution of a
cometary flow interacting with a force field is discussed, two kinds of existence results for …

We study the Cauchy problem of a three-dimensional cometary flow equation with a self-
consistent electromagnetic field. This kinetic model comes from the theory of astrophysical …