等离子体边界层的非线性稳定性和不稳定性

IF 2.7 3区数学 Q1 MATHEMATICS, APPLIED

Physica D: Nonlinear Phenomena Pub Date : 2025-05-30 DOI:10.1016/j.physd.2025.134743

Masahiro Suzuki , Masahiro Takayama , Katherine Zhiyuan Zhang

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引用次数: 0

摘要

考虑半空间中完全吸收边界条件下的Vlasov-Poisson系统，研究了等离子体边界层（鞘层）的形成。在Suzuki和Takayama（2023）中，研究了平稳问题的可解性。本文研究了Vlasov-Poisson系统的这些平稳解的非线性稳定性和不稳定性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Nonlinear stability and instability of plasma boundary layers

We investigate the formation of a plasma boundary layer (sheath) by considering the Vlasov–Poisson system on a half space with the completely absorbing boundary condition. In Suzuki and Takayama (2023), the solvability of the stationary problem is studied. In this paper, we study the nonlinear stability and instability of these stationary solutions of the Vlasov–Poisson system.

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来源期刊

Physica D: Nonlinear Phenomena 物理-物理：数学物理

CiteScore

7.30

自引率

7.50%

发文量

213

审稿时长

65 days

期刊介绍： Physica D (Nonlinear Phenomena) publishes research and review articles reporting on experimental and theoretical works, techniques and ideas that advance the understanding of nonlinear phenomena. Topics encompass wave motion in physical, chemical and biological systems; physical or biological phenomena governed by nonlinear field equations, including hydrodynamics and turbulence; pattern formation and cooperative phenomena; instability, bifurcations, chaos, and space-time disorder; integrable/Hamiltonian systems; asymptotic analysis and, more generally, mathematical methods for nonlinear systems.