Radial solutions of hydrodynamic model of semiconductors with sonic boundary

DOI10.1016/j.jmaa.2021.125187zbMath1467.76072arXiv2010.04867OpenAlexW3146475716MaRDI QIDQ2033220

Ming Mei, Liang Chen, Guojing Zhang, Kai-Jun Zhang

Publication date: 14 June 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.04867

zbMATH Keywords

existenceenergy methoduniquenessEuler-Poisson equationscompactness argumenthydrodynamic semiconductor modelradial subsonic solutionradial supersonic solution

Mathematics Subject Classification ID

Statistical mechanics of semiconductors (82D37) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (6)

Radially symmetric spiral flows of the compressible Euler-Poisson system for semiconductors ⋮ Structural Stability of Radial Interior Subsonic Steady-States to n-D Euler-Poisson System of Semiconductor Models with Sonic Boundary ⋮ Structural stability of subsonic steady states to the hydrodynamic model for semiconductors with sonic boundary ⋮ Quasi-Neutral Limit to Steady-State Hydrodynamic Model of Semiconductors with Degenerate Boundary ⋮ Nonlinear structural stability and linear dynamic instability of transonic steady-states to hydrodynamic model for semiconductors ⋮ Transonic Steady-States of Euler--Poisson Equations for Semiconductor Models with Sonic Boundary

Cites Work

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• Subsonic flow for the multidimensional Euler-Poisson system
• Transonic shock solutions for a system of Euler-Poisson equations
• Asymptotic convergence to planar stationary waves for multi-dimensional unipolar hydrodynamic model of semiconductors
• Stability of transonic shock solutions for one-dimensional Euler-Poisson equations
• Steady hydrodynamic model of semiconductors with sonic boundary and transonic doping profile
• Asymptotic stability of a stationary solution to a thermal hydrodynamic model for semiconductors
• On steady state Euler-Poisson models for semiconductors
• A steady state potential flow model for semiconductors
• Elliptic partial differential equations of second order
• Radial transonic shock solutions of Euler-Poisson system in convergent nozzles
• On a one-dimensional steady-state hydrodynamic model for semiconductors
• Quasi-hydrodynamic semiconductor equations
• Non-isentropic multi-transonic solutions of Euler-Poisson system
• Asymptotic stability of a stationary solution to a hydrodynamic model of semiconductors
• Example of supersonic solutions to a steady state Euler-Poisson system
• Asymptotic Convergence to Stationary Waves for Unipolar Hydrodynamic Model of Semiconductors
• A PHASE PLANE ANALYSIS OF TRANSONIC SOLUTIONS FOR THE HYDRODYNAMIC SEMICONDUCTOR MODEL
• Asymptotic behaviour of solutions of the hydrodynamic model of semiconductors
• Steady Hydrodynamic Model of Semiconductors with Sonic Boundary: (I) Subsonic Doping Profile
• Steady Hydrodynamic Model of Semiconductors with Sonic Boundary: (II) Supersonic Doping Profile
• Subsonic Solutions for Steady Euler--Poisson System in Two-Dimensional Nozzles
• A viscous approximation for a 2-D steady semiconductor or transonic gas dynamic flow: Existence theorem for potential flow
• A phase analysis of transonic solutions for the hydrodynamic semiconductor model
• Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors

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