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Fractional diffusion limit for collisional kinetic equations:A moments method
Kinetic equations linear Boltzmann equation asymptotic analysis diffusion limit anomalous diffusion limit fractional diffusion relaxation equation anomalous diffusive time scale
2015/10/15
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...
Anomalous diffusion limit for kinetic equations with degenerate collision frequency
Anomalous diffusion limit kinetic equations degenerate collision frequency
2015/10/15
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...
Fractional diffusion limit for collisional kinetic equations:a Hilbert expansion approach
Fractional diffusion limit collisional kinetic equations Hilbert expansion
2015/10/15
We develop a Hilbert expansion approach for the derivation of fractional diffusion equations from the linear Boltzmann equation with heavy tail equilibria.
Diffusion for the periodic wind-tree model
Billiards diffusion translations surfaces Lyapunov exponents ergodic averages
2011/8/31
Abstract: The periodic wind-tree model is an infinite billiard in the plane with identical rectangular scatterers disposed at each integer point. We prove that independently of the size of the scatter...