Energy-transport and drift-diffusion limits of nonisentropic Euler-Poisson equations
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Publication:652460
DOI10.1016/j.jde.2011.09.040zbMath1242.35184OpenAlexW2033913355MaRDI QIDQ652460
Publication date: 14 December 2011
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2011.09.040
Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Euler-Poisson-Darboux equations (35Q05) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Global existence of smooth solutions to a full Euler–Poisson system in one space dimension, Global solutions to nonisentropic hydrodynamic models for two-carrier plasmas, Global existence of classical solutions of full Euler-Maxwell equations, Stability of steady states of the compressible Euler-Poisson system in \(\mathbb R^3\), Global quasi-neutral limit of Euler-Maxwell systems with velocity dissipation, The well-posedness theory for Euler–Poisson fluids with non-zero heat conduction, Convergence of a non-isentropic Euler-Poisson system for all time, Decay estimates of solutions to the bipolar compressible Euler-Poisson system in \(\mathbb{R}^3 \), Large-time behavior of the full compressible Euler-Poisson system without the temperature damping
Cites Work
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- Relaxation-time limits of non-isentropic hydrodynamic models for semiconductors
- Well-posedness and stability of classical solutions to the multidimensional full hydrodynamic model for semiconductors
- Asymptotic stability of a stationary solution to a thermal hydrodynamic model for semiconductors
- Zero-relaxation limit of non-isentropic hydrodynamic models for semiconductors
- Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation
- Compact sets in the space \(L^ p(0,T;B)\)
- The Cauchy problem for quasi-linear symmetric hyperbolic systems
- Formation of singularities in compressible Euler-Poisson fluids with heat diffusion and damping relaxation
- Uniqueness theorems for the three dimensional Navier-Stokes system
- Global existence and exponential stability of smooth solutions to a full hydrodynamic model to semiconductors
- Weak solutions to a hydrodynamic model for semiconductors and relaxation to the drift-diffusion equation
- Relaxation time limits problem for hydrodynamic models in semiconductor science
- Navier-Stokes equation with variable density and viscosity in critical space
- Global existence and asymptotic behavior for a multidimensional nonisentropic hydrodynamic semiconductor model with the heat source
- Relaxation-Time Limit in the Isothermal Hydrodynamic Model for Semiconductors
- Quasi-neutral limit of the non-isentropic Euler–Poisson system
- ENERGY-TRANSPORT LIMIT OF THE HYDRODYNAMIC MODEL FOR SEMICONDUCTORS
- Global Existence of Smooth Solutions of theN-Dimensional Euler--Poisson Model
- The energy transport and the drift diffusion equations as relaxation limits of the hydrodynamic model for semiconductors
- Global Existence and Relaxation Limit for Smooth Solutions to the Euler--Poisson Model for Semiconductors
- Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors