Discontinuous solutions for a hydrodynamic model of semiconductors

DOI10.1016/S0362-546X(01)00777-5zbMath1004.35116MaRDI QIDQ1612595

Sixin Qian, Dening Li

Publication date: 25 August 2002

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

zbMATH Keywords

stabilityexistenceshock wave solutions

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs with low regular coefficients and/or low regular data (35R05) Statistical mechanics of semiconductors (82D37)

Related Items (1)

Global existence and asymptotic behavior for a multidimensional nonisentropic hydrodynamic semiconductor model with the heat source

Cites Work

• Unnamed Item
• Unnamed Item
• Convergence of the Godunov scheme for a simplified one-dimensional hydrodynamic model for semiconductor devices
• A steady state potential flow model for semiconductors
• Global solutions to the isothermal Euler-Poisson system with arbitrarily large data
• Solutions for a hydrodynamic model of semiconductors
• Symmetric positive linear differential equations
• Symmetric Positive Systems with Boundary Characteristic of Constant Multiplicity
• The existence of multidimensional shock fronts
• Solutions for Two-Dimensional System for Materials of Korteweg Type
• On a Local Existence Theorem for a Simplified One-Dimensional Hydrodynamic Model for Semiconductor Devices
• The stability of multidimensional shock fronts

This page was built for publication: Discontinuous solutions for a hydrodynamic model of semiconductors