Recent Developments on the Well-Posedness Theory for Vlasov-Type Equations | SpringerLink
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We propose a general multi-species Fokker–Planck model. We prove consistency of our
model: conservation properties, positivity of all temperatures, H-Theorem and the shape of …

The aim of this paper is to provide a justification of the Maxwell–Boltzmann approximation of
electron density from kinetic models. First, under reasonable regularity assumption, we …

The present contribution investigates the dynamics generated by the two-dimensional
Vlasov-Poisson-Fokker-Planck equation for charged particles in a steady inhomogeneous …

In these short, rather informal, expository notes I review the current state of the field
regarding the mathematics of Landau damping, based on lectures given at the CIRM …

The model reduction of a mesoscopic kinetic dynamics to a macroscopic continuum
dynamics has been one of the fundamental questions in mathematical physics since …

Kinetic equations of Vlasov type are in widespread use as models in plasma physics. A well
known example is the Vlasov-Poisson system for collisionless, unmagnetised plasma. In …

We propose a finite volume scheme for a class of nonlinear parabolic equations endowed
with non-homogeneous Dirichlet boundary conditions and which admit relative entropy …

This work tackles the diffusive limit for the Vlasov–Poisson–Fokker–Planck model. We derive
a priori estimates which hold without restriction on the phase-space dimension and propose …

Due to ion–electron collisions, it is impossible to derive any two-fluid model for plasma as a
direct hydrodynamic limit of the Vlasov–Poisson–Landau system for ions and electrons. At …