4 papers
math.AP2025
On the fractional diffusion for the linear Boltzmann equation with drift and general cross-section
Dahmane Dechicha
This paper is devoted to the hydrodynamic limit for the linear Boltzmann equation, in the case of a heavy tail equilibrium and a cross section which depends on the space variable a…
math.PR2024
On the spectral problem and fractional diffusion limit for Fokker-Planck with(-out) drift and for a general heavy tail equilibrium
Dahmane Dechicha
This paper is devoted to the study of a kinetic Fokker-Planck equation with general heavy-tailed equilibrium without an explicit formula, such as , in…
math.AP2024
Gevrey regularity and analyticity for the solutions of the Vlasov-Navier-Stokes system
Dahmane Dechicha
In this paper, we prove propagation of -Gevrey regularity and analyticity for the Vlasov-Navier-Stokes system on $\mathbb{T}^d \times \mathbb{…
math.AP2024
Fractional diffusion for Fokker-Planck equation with heavy tail equilibrium: an à la Koch spectral method in any dimension
Dahmane Dechicha, Marjolaine Puel
In this paper, we extend the spectral method developed [Dechicha and Puel, 2023] to any dimension , in order to construct an eigen-solution for the Fokker-Planck oper…