Zero-relaxation limit of non-isentropic hydrodynamic models for semiconductors

DOI10.3934/DCDS.2009.25.1319zbMath1180.35059OpenAlexW2022548461MaRDI QIDQ1045784

Jiang Xu, Wen-An Yong

Publication date: 16 December 2009

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2009.25.1319

zbMATH Keywords

energy estimatesperiodic initial-value problemscontinuation principleMaxwell iterationunique smooth solutions

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Singular perturbations in context of PDEs (35B25) Statistical mechanics of semiconductors (82D37) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (7)

Relaxation-time limits of non-isentropic hydrodynamic models for semiconductors ⋮ Global solutions to nonisentropic hydrodynamic models for two-carrier plasmas ⋮ Energy-transport and drift-diffusion limits of nonisentropic Euler-Poisson equations ⋮ Convergence of the compressible magnetohydrodynamic equations to incompressible magnetohydrodynamic equations ⋮ The well-posedness theory for Euler–Poisson fluids with non-zero heat conduction ⋮ Strong relaxation limit of multi-dimensional isentropic Euler equations ⋮ Convergence of a non-isentropic Euler-Poisson system for all time

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