Analytical and numerical solutions of one-dimensional cold plasma equations

DOI10.1134/S0965542521090141zbMath1477.76068OpenAlexW3206365939MaRDI QIDQ2245910

Eugene V. Chizhonkov, Olga S. Rozanova

Publication date: 15 November 2021

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542521090141

zbMATH Keywords

convergencemethod of characteristicsgradient catastropherelativistic plasmaplasma oscillation breaking

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) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Basic methods in fluid mechanics (76M99)

Related Items

The interplay of regularizing factors in the model of upper hybrid oscillations of cold plasma ⋮ On a 1D-electrostatic test problem for the PIC method ⋮ Rusanov's third-order accurate scheme for modeling 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
• To the question of large-amplitude electron oscillations in a plasma slab
• Nonlinear Electron Oscillations in a Cold Plasma
• Hyperbolic Conservation Laws in Continuum Physics