Large time behavior of Euler-Poisson system for semiconductor
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Publication:943447
DOI10.1007/s11425-008-0049-4zbMath1149.35317OpenAlexW2119318172MaRDI QIDQ943447
Huimin Yu, Ronghua Pan, Fei-Min Huang
Publication date: 9 September 2008
Published in: Science in China. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-008-0049-4
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Statistical mechanics of superconductors (82D55) Magnetohydrodynamics and electrohydrodynamics (76W05)
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Cites Work
- Unnamed Item
- Unnamed Item
- Stability of semiconductor states with insulating and contact boundary conditions
- Asymptotic behavior of the solution to a nonisentropic hydrodynamic model of semiconductors
- Formation of singularities in compressible Euler-Poisson fluids with heat diffusion and damping relaxation
- Convergence rate for compressible Euler equations with damping and vacuum
- Convergence to the Barenblatt solution for the compressible Euler equations with damping and vacuum
- Global solutions to the isothermal Euler-Poisson system with arbitrarily large data
- Large BV solutions to the compressible isothermal Euler–Poisson equations with spherical symmetry
- Initial boundary value problem for compressible Euler equations with damping
- Large Time Behavior of the Solutions to a Hydrodynamic Model for Semiconductors
- Global Existence of Smooth Solutions of theN-Dimensional Euler--Poisson Model
- Asymptotic behavior of subsonic entropy solutions of the isentropic Euler-Poisson equations
- Asymptotic behaviour of solutions of the hydrodynamic model of semiconductors
- Weak solutions to a hydrodynamic model for semiconductors: the Cauchy problem
