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This paper is devoted to diffusion limits of linear Boltzmann equations. When the equilibrium distribution function is a Maxwellian distribution, it is well known that for an appropriate time scale, t...
This paper is devoted to hydrodynamic limits of linear kinetic equations. We consider situations in which the thermodynamical equilibrium is described by a heavy-tail distribution function rather than...
This paper is devoted to hydrodynamic limits for collisional linear kinetic equations. It is a classical result that under certain conditions on the collision operator, the long time/small mean free p...
We develop a Hilbert expansion approach for the derivation of fractional diffusion equations from the linear Boltzmann equation with heavy tail equilibria.
Consider a piecewise smooth expanding map of the interval possessing several invariant subintervals and the same number of ergodic absolutely continuous invariant probability measures (ACIMs).
The main model studied in this paper is a lattice of pendula with a nearestneighbor coupling. If the coupling isweak, then the system is near-integrable and KAM tori fill most of the phase space. For ...
A strong form of Arnold diffusion for two and a half degrees of freedom.
In this paper, we study small perturbations of a class of non-convex integrable Hamiltonians with two degrees offreedom, and we prove a result of diffusion for an open and dense set of perturbations, ...
It is well know that instabilities of nearly integrable Hamiltonian systems occur around resonances. Dynamics near resonances of these systems is wellapproximated by the associated averaged system, ca...
A compendium of diffusion measurements and their Arrhenius equations for water, carbon dioxide, sulfur, fluorine, and chlorine in silicate melts similar in composition to natural igneous rocks is pre...
We consider a diffusion model of small variance type with positive drift density varying in a nonparametric set. We investigate Gaussian and Poisson approximations to this model in the sense of asympt...
The goal of this activity is to help students better understand the nonintuitive concept of diffusion and introduce them to a variety of diffusion-related processes in the ocean. As part of this activ...
TIME TO REACH STATIONARITY IN THE BERNOULLI-LAPLACE DIFFUSION MODEL.
We consider a reaction-diffusion system of the KPP type in a shear flow and with a non-zeroheat loss parameter. We establish criteria for the flame blow-off and propagation, and identify the propagati...

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