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math.AP2023★ 2 cited
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.AP2023
Construction of an eigen-solution for the Fokker-Planck operator with heavy tail equilibrium: an `a la Koch method in dimension 1
Dahmane Dechicha, Marjolaine Puel
This paper is devoted to the construction of an \emph{eigen-solution} for the Fokker-Planck operator with heavy tail equilibrium. We propose an \textit{alternative} method in dimen…
math.AP2023★ 1 cited
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…