Stability of transonic strong shock waves for the one-dimensional hydrodynamic model for semiconductors

DOI10.1016/j.jde.2003.09.009zbMath1061.35050OpenAlexW2050230295MaRDI QIDQ1880758

Massimiliano Daniele Rosini

Publication date: 1 October 2004

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2003.09.009

zbMATH Keywords

hyperbolic-elliptic systemunipolar semiconductorRankine-Hugoniot jump conditionsLax entropy conditions

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Statistical mechanics of semiconductors (82D37)

Related Items (4)

A phase analysis of transonic solutions for the hydrodynamic semiconductor model ⋮ Stability of transonic shock solutions for one-dimensional Euler-Poisson equations ⋮ A deformation-curl-Poisson decomposition to the three dimensional steady Euler-Poisson system with applications ⋮ Subsonic flow for the multidimensional Euler-Poisson system

Cites Work

• Numerical approximation of hyperbolic systems of conservation laws
• Weak solutions to a hydrodynamic model for semiconductors and relaxation to the drift-diffusion equation
• Hyperbolic systems of conservation laws II
• The existence of multidimensional shock fronts
• Stability of Step Shocks
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• A PHASE PLANE ANALYSIS OF TRANSONIC SOLUTIONS FOR THE HYDRODYNAMIC SEMICONDUCTOR MODEL
• Weak solutions to a hydrodynamic model for semiconductors: the Cauchy problem
• The stability of multidimensional shock fronts
• Initial boundary value problems for hyperbolic systems
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