In this paper, we establish the nonlinear asymptotic stability of Penrose-stable equilibria for the 2 dimensional Vlasov--Poisson system with massless electrons. Our analysis demonstrates that, under the Penrose stability condition, perturbations of the equilibrium state exhibitlongterm stability and controlled decay, contributing valuable insights into nonlinear damping mechanisms in plasma systems with reduced dimensionality.

Publication:

SIAM Journal on Mathematical Analysis Volume 57, Issue 2

http://dx.doi.org/10.1137/23M1595382

Author:

LINGJIA HUANG

Fudan University, 220 Handan Road, Yangpu, Shanghai, 200433 China

ljhuang20@fudan.edu.cn

QUOC-HUNG NGUYEN

State Key Laboratory of Mathematical Sciences, Academy of Mathematics and Systems Science,Chinese Academy of Sciences, Beijing, 100190 China qhnguyen@amss.ac.cn

YIRAN XU

Fuxing High School Affiliated to Fudan University, 28 Chezhan South Road, Hongkou District,Shanghai, 200434 China

yrxu20@fudan.edu.cn