Landau damping for the linearized Vlasov Poisson equation in a weakly collisional regime

DOI10.1007/s10955-017-1848-1zbMath1379.35317arXiv1603.07219OpenAlexW3100461285MaRDI QIDQ1683989

Isabelle Tristani

Publication date: 4 December 2017

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.07219

zbMATH Keywords

Landau dampingVlasov-Poisson equationlinear Boltzmann operatorFokker-Planck operator

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Stability in context of PDEs (35B35) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Vlasov equations (35Q83) Boltzmann equations (35Q20) Fokker-Planck equations (35Q84)

Related Items (12)

Suppression of plasma echoes and Landau damping in Sobolev spaces by weak collisions in a Vlasov-Fokker-Planck equation ⋮ Almost-sure enhanced dissipation and uniform-in-diffusivity exponential mixing for advection-diffusion by stochastic Navier-Stokes ⋮ Vlasov–Fokker–Planck equation: stochastic stability of resonances and unstable manifold expansion ⋮ Landau damping on the torus for the Vlasov-Poisson system with massless electrons ⋮ Conservative stabilized Runge-Kutta methods for the Vlasov-Fokker-Planck equation ⋮ The Vlasov–Poisson–Landau system in the weakly collisional regime ⋮ Long time estimates for the Vlasov-Maxwell system in the non-relativistic limit ⋮ Large-time behavior of solutions to Vlasov-Poisson-Fokker-Planck equations: from evanescent collisions to diffusive limit ⋮ \(\mathrm{L}^2\)-hypocoercivity and large time asymptotics of the linearized Vlasov-Poisson-Fokker-Planck system ⋮ On linear damping around inhomogeneous stationary states of the Vlasov-HMF model ⋮ The linearized Vlasov and Vlasov-Fokker-Planck equations in a uniform magnetic field ⋮ Phase mixing for solutions to 1D transport equation in a confining potential

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