Work

Linear and NonLinear Stability for the Kinetic Plasma Sheath on a Bounded Interval

Year: 2025

Type: article

Abstract: . Plasma sheaths are inhomogeneous stationary states that form when a plasma is in contact with an absorbing wall. We prove linear and nonlinear stability of a kinetic sheath stationary state for a Vlasov–Poisson-type system in a bounded interval. Notably, in the linear setting, we obtain exponential decay of the fluctuation, provided the rate of injection of particles at equilibrium is smaller than the rate of absorption at the wall. In the nonlinear setting, we prove a similar result for a small enough equilibrium and a small localized perturbation of the equilibrium.

Source: SIAM Journal on Mathematical Analysis

DOI: 10.1137/24m1678660

Author: Mehdi Badsi

Institutions: Centre National de la Recherche Scientifique, Laboratoire de Mathématiques Jean Leray, Nantes Université

Language: English

Topic: Gas Dynamics and Kinetic Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Agence Nationale de la Recherche

Awards: G3010527862, MUltiscale and treFFtz for numerIcal traNsport