Solutions to the cold plasma model at resonances
type: Item
instance of: scholarly article
title: Solutions to the cold plasma model at resonances
zbMATH Open document ID: 1378.78013
author: Bruno Després
author: Lise-Marie Imbert-Gérard
author: Olivier Lafitte
publication date: 2017-07-27T00:00:00Z
review text: This paper deals with singular solutions at resonances in a cold magnetized plasma model. The authors develop a new mathematical method based on finding local solutions in terms of Bessel functions and introduce a new stretching function that satisfies the eikonal equation. Such a simplified approach allows for a better understanding of resonant heating and the structure of local solutions at hybrid resonance. The considered method can be applied in studies of electromagnetic waves in tokamak plasmas.
Mathematics Subject Classification ID: 78A40
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 14B05
Mathematics Subject Classification ID: 58K05
Mathematics Subject Classification ID: 58K55
Mathematics Subject Classification ID: 82D75
zbMATH DE Number: 6754326
zbMATH Keywords: cold plasma model
zbMATH Keywords: resonant Maxwell equations
zbMATH Keywords: hybrid resonance
zbMATH Keywords: cyclotron resonance
zbMATH Keywords: eikonal equation
zbMATH Keywords: singular solutions of ODEs
MaRDI profile type: Publication
full work available at URL: jep.41
OpenAlex ID: W2597248448
cites work: Q3661894
cites work: {\(T\)}-coercivity for scalar interface problems between dielectrics and metamaterials
cites work: Q3270564
cites work: Constructive Formulations of Resonant Maxwell's Equations
cites work: Resonance and double negative behavior in metamaterials
cites work: Q5848416
cites work: Hybrid resonance of Maxwell's equations in slab geometry
cites work: High-Frequency Stability of Detonations and Turning Points at Infinity
cites work: The Solutions of Second Order Linear Ordinary Differential Equations About a Turning Point of Order Two
cites work: Q4340161
cites work: Stable explicit coupling of the yee scheme with a linear current model in fluctuating magnetized plasmas
cites work: Q5733379
cites work: Q3244632
cites work: A rigorous analysis of high-order electromagnetic invisibility cloaks
DOI: 10.5802/JEP.41
published in: Journal de l’École polytechnique — Mathématiques
Recommended article: On the initial-value problem in a cold plasma model
Recommended article: A stable formulation of resonant Maxwell's equations in cold plasma
Recommended article: Unique Solutions to Boundary Value Problems in the Cold Plasma Model
Recommended article: Analytical and numerical solutions of one-dimensional cold plasma equations
Recommended article: Q3061851
Recommended article: A boundary value problem for cold plasma dynamics
Recommended article: Exact solutions for the collisional plasma problem
Recommended article: Solutions of Vlasov-Maxwell equations for a magnetically confined relativistic cold plasma
Recommended article: The Riemann problem for equations of a cold plasma
Recommended article: Lower hybrid waves in the cold plasma model
description: scientific article; zbMATH DE number 6754326