Structural stability of supersonic solutions to the Euler-Poisson system
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Publication:2220642
DOI10.1007/s00205-020-01583-7zbMath1456.35136arXiv1602.01892OpenAlexW3094781842MaRDI QIDQ2220642
Myoungjean Bae, Chunjing Xie, Jingjing Xiao, Ben Duan
Publication date: 25 January 2021
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.01892
PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Hyperbolic conservation laws (35L65) Magnetohydrodynamics and electrohydrodynamics (76W05) Euler equations (35Q31) Initial-boundary value problems for first-order hyperbolic equations (35L04)
Related Items (11)
Radially symmetric spiral flows of the compressible Euler-Poisson system for semiconductors ⋮ Global well-posedness for 3D Euler-Maxwell two-fluids system ⋮ Supersonic Euler-Poisson flows in divergent nozzles ⋮ Sonic-supersonic-shock-subsonic-sonic solution to Euler-Poisson system with varying background charges ⋮ Structural Stability of Radial Interior Subsonic Steady-States to n-D Euler-Poisson System of Semiconductor Models with Sonic Boundary ⋮ Subsonic steady-states for bipolar hydrodynamic model for semiconductors ⋮ 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 ⋮ Non-uniqueness of transonic shock solutions to non-isentropic Euler-Poisson system with varying background charges ⋮ On some smooth symmetric transonic flows with nonzero angular velocity and vorticity ⋮ Transonic Steady-States of Euler--Poisson Equations for Semiconductor Models with Sonic Boundary
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