Example of supersonic solutions to a steady state Euler-Poisson system
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Publication:2481437
DOI10.1016/j.aml.2006.01.015zbMath1139.35374OpenAlexW2001693686MaRDI QIDQ2481437
Yue-Jun Peng, Ingrid Lacroix-Violet
Publication date: 10 April 2008
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2006.01.015
PDEs in connection with optics and electromagnetic theory (35Q60) Statistical mechanics of superconductors (82D55) Statistical mechanics of semiconductors (82D37) Initial-boundary value problems for first-order hyperbolic systems (35L50) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)
Related Items (19)
Radially symmetric spiral flows of the compressible Euler-Poisson system for semiconductors ⋮ Large-time behavior of solutions for unipolar Euler-Poisson equations with critical over-damping ⋮ Steady Hydrodynamic Model of Semiconductors with Sonic Boundary: (I) Subsonic Doping Profile ⋮ 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 ⋮ Subsonic steady-states for bipolar hydrodynamic model for semiconductors ⋮ Steady Hydrodynamic Model of Semiconductors with Sonic Boundary: (II) Supersonic Doping Profile ⋮ 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 ⋮ Stability of transonic shock solutions for one-dimensional Euler-Poisson equations ⋮ Radial solutions of hydrodynamic model of semiconductors with sonic boundary ⋮ Large time behaviors of solutions to the unipolar hydrodynamic model of semiconductors with physical boundary effect ⋮ Smooth Transonic Steady States of Hydrodynamic Model for Semiconductors ⋮ Steady hydrodynamic model of semiconductors with sonic boundary and transonic doping profile ⋮ Three-dimensional supersonic flows of Euler-Poisson system for potential flow ⋮ 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 ⋮ Subsonic flow for the multidimensional Euler-Poisson system
Cites Work
- Unnamed Item
- A steady state potential flow model for semiconductors
- On a one-dimensional steady-state hydrodynamic model for semiconductors
- A viscous approximation for a 2-D steady semiconductor or transonic gas dynamic flow: Existence theorem for potential flow
- Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors
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