High precision methods for solving a system of cold plasma equations taking into account electron-ion collisions

DOI10.1515/rnam-2021-0012zbMath1490.65181OpenAlexW3176592612MaRDI QIDQ1983517

Mariya I. Delova, Eugene V. Chizhonkov, Olga S. Rozanova

Publication date: 10 September 2021

Published in: Russian Journal of Numerical Analysis and Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/rnam-2021-0012

zbMATH Keywords

method of characteristicsquasilinear hyperbolic equationsplasma oscillationsgradient catastropheextended systembreaking effectanalytic and numerical solutionEulerian and Lagrangian variables

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Statistical mechanics of plasmas (82D10) Applications to the sciences (65Z05)

Related Items

Stabilization and blowup in the relativistic model of cold collisional plasma ⋮ The influence of an external magnetic field on cold plasma oscillations

Uses Software

• UNCMND
• pchip

Cites Work

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• On the conditions for the breaking of oscillations in a cold plasma
• On the existence of a global solution of a hyperbolic problem
• Riccati differential equations
• Nonlinear Electron Oscillations in a Cold Plasma
• Mathematical Aspects of Modelling Oscillations and Wake Waves in Plasma
• Hyperbolic Conservation Laws in Continuum Physics