ASYMPTOTIC EXPANSIONS IN A STEADY STATE EULER–POISSON SYSTEM AND CONVERGENCE TO INCOMPRESSIBLE EULER EQUATIONS

DOI10.1142/S0218202505000546zbMath1074.35077MaRDI QIDQ5463106

Yue-Jun Peng, Ingrid Lacroix-Violet

Publication date: 1 August 2005

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

incompressible Euler equationsasymptotic expansion and justificationpotential and subsonic flowsteady state Euler-Poisson system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Asymptotic expansions of solutions to PDEs (35C20) Statistical mechanics of semiconductors (82D37) Statistical mechanics of plasmas (82D10)

Related Items (2)

The zero-electron-mass limit for a stationary nonisentropic hydrodynamic semiconductor model ⋮ Numerical solutions of Euler-Poisson systems for potential flows

Cites Work

• Zero-relaxation-time limits in the hydrodynamic equations for plasmas revisited
• Asymptotic limits of one-dimensional hydrodynamic models for plasmas and semiconductors
• Global smooth solutions to the multi-dimensional hydrodynamic model for two-carrier plasmas
• Weak solutions to a hydrodynamic model for semiconductors and relaxation to the drift-diffusion equation
• A hierarchy of hydrodynamic models for plasmas zero-relaxation-time limits
• Quasineutral limit of an euler-poisson system arising from plasma physics
• Boundary layers and quasi-neutral limit in steady state Euler–Poisson equations for potential flows
• Unnamed Item

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