Relaxation-time limits of non-isentropic hydrodynamic models for semiconductors

DOI10.1016/j.jde.2009.06.018zbMath1180.35058OpenAlexW2070758871MaRDI QIDQ842895

Jiang Xu, Wen-An Yong

Publication date: 28 September 2009

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

Full work available at URL: https://doi.org/10.1016/j.jde.2009.06.018

zbMATH Keywords

critical Besov spacessemiconductorshigh- and low-frequency decompositionscaled hydrodynamic model

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Gas dynamics (general theory) (76N15) Statistical mechanics of semiconductors (82D37) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (11)

Initial layer and relaxation limit of non-isentropic compressible Euler equations with damping ⋮ Diffusive relaxation limits of compressible Euler-Maxwell equations ⋮ Energy-transport and drift-diffusion limits of nonisentropic Euler-Poisson equations ⋮ Global existence and minimal decay regularity for the Timoshenko system: the case of non-equal wave speeds ⋮ Initial layers and zero‐relaxation limits of multidimensional Euler–Poisson equations ⋮ Global existence and optimal decay rates for the Timoshenko system: the case of equal wave speeds ⋮ The diffusive relaxation limit of non-isentropic Euler-Maxwell equations for plasmas ⋮ Relaxation limit in bipolar semiconductor hydrodynamic model with non-constant doping profile ⋮ High-friction limits of Euler flows for multicomponent systems ⋮ Combined relaxation and non-relativistic limit of non-isentropic Euler–Maxwell equations ⋮ Relaxation-time limit and initial layer in the isentropic hydrodynamic model for semiconductors

Cites Work

• Unnamed Item
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• Zero-relaxation limit of non-isentropic hydrodynamic models for semiconductors
• Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation
• Compact sets in the space \(L^ p(0,T;B)\)
• Zero-relaxation-time limits in the hydrodynamic equations for plasmas revisited
• The relaxation to the drift-diffusion system for the 3-D isentropic Euler-Poisson model for semiconductors
• The relaxation of the hydrodynamic model for semiconductors to the drift-diffusion equations
• Global existence and exponential stability of smooth solutions to a full hydrodynamic model to semiconductors
• Weak solutions to a hydrodynamic model for semiconductors and relaxation to the drift-diffusion equation
• Relaxation time limits problem for hydrodynamic models in semiconductor science
• Relaxation-Time Limit in the Isothermal Hydrodynamic Model for Semiconductors
• A hierarchy of hydrodynamic models for plasmas zero-relaxation-time limits
• Particle hydrodynamic moment models in biology and microelectronics: Singular relaxation limits
• Global Existence of Smooth Solutions of theN-Dimensional Euler--Poisson Model
• Relaxation of the isothermal Euler-Poisson system to the drift-diffusion equations
• The energy transport and the drift diffusion equations as relaxation limits of the hydrodynamic model for semiconductors
• Global Existence and Relaxation Limit for Smooth Solutions to the Euler--Poisson Model for Semiconductors
• ON THE 3-D BIPOLAR ISENTROPIC EULER–POISSON MODEL FOR SEMICONDUCTORS AND THE DRIFT-DIFFUSION LIMIT
• ASYMPTOTIC BEHAVIOR OF GLOBAL SMOOTH SOLUTIONS TO THE FULL 1D HYDRODYNAMIC MODEL FOR SEMICONDUCTORS
• Diffusive Relaxation Limit of Multidimensional Isentropic Hydrodynamical Models for Semiconductors
• GLOBAL EXPONENTIAL STABILITY OF CLASSICAL SOLUTIONS TO THE HYDRODYNAMIC MODEL FOR SEMICONDUCTORS

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