Convergence of the fractional step Lax-Friedrichs scheme and Godunov scheme for a nonlinear Euler-Poisson system

DOI10.1016/S0362-546X(99)00168-6zbMath0965.65113OpenAlexW2024886703MaRDI QIDQ1585011

Yue-Jun Peng

Publication date: 16 July 2001

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(99)00168-6

zbMATH Keywords

convergencefinite difference approximationsEuler equationsnonlinear Poisson equationgas dynamicsweak entropy solutionsGodunov schemeEuler-Poisson systemfractional step Lax-Friedrichs scheme

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Motion of charged particles (78A35)

Related Items (5)

Euler-Poisson systems as action-minimizing paths in the Wasserstein space ⋮ ASYMPTOTIC BEHAVIOR OF GLOBAL SMOOTH SOLUTIONS TO THE FULL 1D HYDRODYNAMIC MODEL FOR SEMICONDUCTORS ⋮ Irrotational approximation to the one-dimensional bipolar Euler-Poisson system ⋮ Boundary layer analysis and quasi-neutral limits in the drift-diffusion equations ⋮ A hierarchy of hydrodynamic models for plasmas zero-relaxation-time limits

Cites Work

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• Convergence of the fractional step Lax-Friedrichs scheme and Godunov scheme for the isentropic system of gas dynamics
• Convergence of approximate solutions to conservation laws
• On the vacuum state for the isentropic gas dynamics equations
• Kinetic formulation of the isentropic gas dynamics and \(p\)-systems
• Weak solutions to a hydrodynamic model for semiconductors and relaxation to the drift-diffusion equation
• Global solutions to the isothermal Euler-Poisson system with arbitrarily large data
• The bipolar hydrodynamic model for semiconductors and the drift-diffusion equations
• Système Euler-Poisson non linéaire. Existence globale de solutions faibles entropiques
• A Nonlinear Drift ‐ Diffusion System with Electric Convection Arising in Electrophoretic and Semiconductor Modeling
• ON THE EXISTENCE AND UNIQUENESS OF TRANSIENT SOLUTIONS OF A DEGENERATE NONLINEAR DRIFT-DIFFUSION MODEL FOR SEMICONDUCTORS
• Weak solutions to a hydrodynamic model for semiconductors: the Cauchy problem

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