We study the rate of convergence to equilibrium for a collisionless (Knudsen) gas enclosed
in a vessel in dimension $ n\in\{2, 3\} $. By semigroup arguments, we prove that in the $ L …

This Review concerns recent results on the quantitative study of convergence toward the
stationary state for spatially inhomogeneous kinetic equations. We focus on analytical …

We investigate the speed of approach to Maxwellian equilibrium for a collisionless gas
enclosed in a vessel whose wall are kept at a uniform, constant temperature, assuming …

We use a probabilistic approach to study the rate of convergence to equilibrium for a
collisionless (Knudsen) gas in dimension equal to or larger than 2. The use of a coupling …

We study the dissipative effect of the boundary condition in the kinetic theory. We focus our
study on the simplest situation of the free molecular flow with diffuse reflection boundary …

We give a counterexample which shows that the asymptotic rate of convergence to the
equilibrium state for the transport equation, with a degenerate cross section and in the …

We study the asymptotic behavior of the kinetic free-transport equation enclosed in a regular
domain, on which no symmetry assumption is made, with Cercignani–Lampis boundary …

We investigate the time-asymptotic behavior for rarefied gases in the spherical domain with
variable boundary temperature in R^ d, R d, d= 1, 2, 3, under the diffuse reflection boundary …

This work deals with free transport equations with partly diffuse stochastic boundary
operators in slab geometry. Such equations are governed by stochastic semigroups in L 1 …

We study the equilibrating effects of the boundary and intermolecular collision in the kinetic
theory for rarefied gases. We consider the Maxwell-type boundary condition, which has …