The present book aims at presenting in a systematic, painstaking and rather exhaustive
manner the incompressible viscous fluid limits of the system of Vlasov–Maxwell–Boltzmann …

In this paper, we prove the local in time well-posedness of thick spray equations in Sobolev
spaces, for initial data satisfying a Penrose-type stability condition. This system is a coupling …

We consider the two-species Vlasov-Maxwell-Boltzmann (VMB) system with the scaling
under which the moments of the fluctuations to the global Maxwellians formally converge to …

We investigate the regularity of bounded weak solutions of scalar conservation laws with
uniformly convex flux in space dimension one, satisfying an entropy condition with entropy …

The voltage-conductance kinetic equation for integrate and fire neurons has been used in
neurosciences since a decade and describes the probability density of neurons in a …

This work is devoted to the analysis of the linear Boltzmann equation on the torus, in the
presence of a force deriving from a potential. The collision operator is allowed to be …

We consider the spatially inhomogeneous non-cutoff Kac's model of the Boltzmann
equation. We prove that the Cauchy problem for the fluctuation around the Maxwellian …

This paper presents in a synthetic way some recent advances on hydrodynamic limits of the
Boltzmann equation. It aims at bringing a new light to these results by placing them in the …

We develop a new approach to velocity averaging lemmas based on the dispersive
properties of the kinetic transport operator. This method yields unprecedented sharp results …

We introduce a new approach to velocity-averaging lemmas in kinetic theory. This approach—
based upon the classical energy method—provides a powerful duality principle in kinetic …