Antoine Gagnebin

Last Name

Gagnebin

Antoine

09808 - Iacobelli, Mikaela / Iacobelli, Mikaela

Publications 1 - 3 of 3

Landau damping on the torus for the Vlasov-Poisson system with massless electrons
Iacobelli, Mikaela; Gagnebin, Antoine (2023)
Journal of Differential Equations
This paper studies the nonlinear Landau damping on the torus Td for the Vlasov-Poisson system with massless electrons (VPME). We consider solutions with analytic or Gevrey (γ > 1/3) initial data, close to a homogeneous equilibrium satisfying a Penrose stability condition. We show that for such solutions, the corresponding density and force field decay exponentially fast as time goes to infinity. This work extends the results for Vlasov-Poisson on the torus to the case of ions and, more generally, to arbitrary analytic nonlinear couplings.
Backward problem for the 1D ionic Vlasov-Poisson equation
Gagnebin, Antoine (2024)
Kinetic & Related Models
In this paper, we study the backward problem for the one-dimensional Vlasov-Poisson system with massless electrons, and we show the Landau damping by fixing the asymptotic behaviour of our solution.
Scattering problem for Vlasov-type equations on the d-dimensional torus with Gevrey data
Benedetto, Dario; Caglioti, Emanuele; Gagnebin, Antoine; et al. (2025)
Annales de l'Institut Henri Poincare C. Analyse Non Lineaire

Publications 1 - 3 of 3