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Article Dans Une Revue Communications in Partial Differential Equations Année : 2021

Debye screening for the stationary Vlasov-Poisson equation in interaction with a point charge

Résumé

We prove that the Debye screening length emerges in a spatially homogeneous plasma described by the nonlinear Vlasov-Poisson equation interacting with a point charge. While screened stationary states as well as the time-dependent problem are well-studied for the linearized equation, there are few rigorous results on screening in the nonlinear setting. As such, the results presented here cover the stationary case under the assumptions predicted by the linearized theory.

Dates et versions

hal-03036760 , version 1 (02-12-2020)

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Citer

Adolfo Arroyo-Rabasa, Raphael Winter. Debye screening for the stationary Vlasov-Poisson equation in interaction with a point charge. Communications in Partial Differential Equations, 2021, 46 (8), pp.1569-1584. ⟨10.1080/03605302.2021.1892754⟩. ⟨hal-03036760⟩
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