Landau Damping in a weakly collisional regime

Abstract

In this paper, we consider the nonlinear Vlasov-Poisson equations in a weakly collisional regime and study the linear Boltzmann collision operator. We prove that Landau damping still occurs in this case.

arXiv comment28Pages

References in corpus (3)

• The linearized Vlasov and Vlasov-Fokker-Planck equations in a uniform magnetic field
• Spectrum analysis for the Vlasov-Poisson-Boltzmann system
• Cyclotron Damping along an Uniform Magnetic Field

Cited by in corpus (1)

• The perturbational stability of the Schr$\ddot{o}$dinger equation