Structural stability of subsonic steady-states to the bipolar Euler-Poisson equations with degenerate boundary

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Degenerate elliptic equations (35J70) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Cites Work

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Subsonic flow for the multidimensional Euler-Poisson system
Asymptotic convergence to planar stationary waves for multi-dimensional unipolar hydrodynamic model of semiconductors
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A steady state potential flow model for semiconductors
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Structural stability of supersonic solutions to the Euler-Poisson system
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Asymptotic behavior of solutions to Euler-Poisson equations for bipolar hydrodynamic model of semiconductors
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Regularity of Singular Two-Point Boundary Value Problems
Steady Hydrodynamic Model of Semiconductors with Sonic Boundary: (II) Supersonic Doping Profile
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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

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