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math.AP2021★ 2 cited
Diffusion limit of the Vlasov equation in the weak turbulent regime
Claude Bardos, Nicolas Besse
In this paper we study the Hamiltonian dynamics of charged particles subject to a non-self-consistent stochastic electric field, when the plasma is in the so-called weak turbulent…
math.AP2020
About the derivation of the quasilinear approximation in plasma physics
Claude Bardos, Nicolas Besse
This contribution, built on the companion paper [1], is focused on the different mathematical approaches available for the analysis of the quasilinear approximation in plasma physi…
math.AP2019
Onsager type conjecture and renormalized solutions for the relativistic Vlasov Maxwell system
Claude Bardos, Nicolas Besse, Toan T. Nguyen
In this paper we give a proof of an Onsager type conjecture on conservation of energy and entropies of weak solutions to the relativistic Vlasov--Maxwell equations. As concerns the…