Nonlinear structural stability and linear dynamic instability of transonic steady-states to hydrodynamic model for semiconductors
DOI10.1016/j.jde.2022.10.038OpenAlexW4308422124MaRDI QIDQ2101084
Ming Mei, Guojing Zhang, Yue-Hong Feng
Publication date: 28 November 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.03475
structural stabilityEuler-Poisson equationshydrodynamic model of semiconductors\(C^1\)-smooth transonic solutionslinear dynamic instabilitytransonic shock solutions
PDEs in connection with fluid mechanics (35Q35) Transonic flows (76H05) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Supersonic flows (76J20) PDEs in connection with mechanics of particles and systems of particles (35Q70) PDEs in connection with semiconductor devices (35Q81)
Related Items (4)
Cites Work
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- Subsonic flow for the multidimensional Euler-Poisson system
- Transonic shock solutions for a system of Euler-Poisson equations
- Steady Euler-Poisson systems: a differential/integral equation formulation with general constitutive relations
- Asymptotic convergence to planar stationary waves for multi-dimensional unipolar hydrodynamic model of semiconductors
- Steady-state solutions of a one-dimensional hydrodynamic model for semiconductors
- Stability of transonic shock solutions for one-dimensional Euler-Poisson equations
- Steady hydrodynamic model of semiconductors with sonic boundary and transonic doping profile
- Stability of semiconductor states with insulating and contact boundary conditions
- A free boundary value problem for the full Euler system and 2-D transonic shock in a large variable nozzle
- On transonic shocks in a nozzle with variable end pressures
- On steady state Euler-Poisson models for semiconductors
- A steady state potential flow model for semiconductors
- On a one-dimensional steady-state hydrodynamic model for semiconductors
- Quasi-hydrodynamic semiconductor equations
- Radial solutions of hydrodynamic model of semiconductors with sonic boundary
- Three-dimensional supersonic flows of Euler-Poisson system for potential flow
- Structural stability of supersonic solutions to the Euler-Poisson system
- Stability of steady-state for 3-D hydrodynamic model of unipolar semiconductor with ohmic contact boundary in hollow ball
- Asymptotic stability of a stationary solution to a hydrodynamic model of semiconductors
- Example of supersonic solutions to a steady state Euler-Poisson system
- Long-time Behavior of Solutions to the Bipolar Hydrodynamic Model of Semiconductors with Boundary Effect
- Large Time Behavior of Solutions ton-Dimensional Bipolar Hydrodynamic Models for Semiconductors
- Asymptotic Convergence to Stationary Waves for Unipolar Hydrodynamic Model of Semiconductors
- Structural Stability of the Transonic Shock Problem in a Divergent Three-Dimensional Axisymmetric Perturbed Nozzle
- 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
- Multidimensional transonic shocks and free boundary problems for nonlinear equations of mixed type
- Smooth Transonic Steady States of Hydrodynamic Model for Semiconductors
- Transonic Steady-States of Euler--Poisson Equations for Semiconductor Models with Sonic Boundary
- Subsonic Solutions for Steady Euler--Poisson System in Two-Dimensional Nozzles
- Transonic shock in a nozzle I: 2D case
- 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
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