Global zero-relaxation limit of the non-isentropic Euler–Poisson system for ion dynamics
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Publication:4999968
DOI10.3233/ASY-191589zbMath1472.35380OpenAlexW2991819105MaRDI QIDQ4999968
Xin Li, Shu Wang, Yue-Hong Feng
Publication date: 5 July 2021
Published in: Asymptotic Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3233/asy-191589
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with optics and electromagnetic theory (35Q60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Euler equations (35Q31) PDEs in connection with semiconductor devices (35Q81)
Cites Work
- Unnamed Item
- Unnamed Item
- Stability of steady states of the compressible Euler-Poisson system in \(\mathbb R^3\)
- Stability of non-constant equilibrium solutions for Euler-Maxwell equations
- Global smooth ion dynamics in the Euler-Poisson system
- Compressible fluid flow and systems of conservation laws in several space variables
- Stability of semiconductor states with insulating and contact boundary conditions
- Compact sets in the space \(L^ p(0,T;B)\)
- The Cauchy problem for quasi-linear symmetric hyperbolic systems
- Global solutions to the isothermal Euler-Poisson plasma model
- The asymptotic behavior of globally smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors.
- Zero-relaxation-time limits in the hydrodynamic equations for plasmas revisited
- Quasi-hydrodynamic semiconductor equations
- Weak solutions to a hydrodynamic model for semiconductors and relaxation to the drift-diffusion equation
- Global solutions to the isothermal Euler-Poisson system with arbitrarily large data
- Relaxation-time limit in the multi-dimensional bipolar nonisentropic Euler-Poisson systems
- KdV limit of the Euler-Poisson system
- Quasineutral Limit of Euler–Poisson System with and without Viscosity
- Système Euler-Poisson non linéaire. Existence globale de solutions faibles entropiques
- Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
- Large Time Behavior of the Solutions to a Hydrodynamic Model for Semiconductors
- A hierarchy of hydrodynamic models for plasmas zero-relaxation-time limits
- Global Existence of Smooth Solutions of theN-Dimensional Euler--Poisson Model
- Relaxation of the isothermal Euler-Poisson system to the drift-diffusion equations
- Quasineutral limit of an euler-poisson system arising from plasma physics
- Global Existence and Relaxation Limit for Smooth Solutions to the Euler--Poisson Model for Semiconductors
- Global convergence of the Euler‐Poisson system for ion dynamics
- Rigorous derivation of a Boltzmann relation from isothermal Euler-Poisson systems
- Diffusive Relaxation Limit of Multidimensional Isentropic Hydrodynamical Models for Semiconductors
- Uniformly Global Smooth Solutions and Convergence of Euler--Poisson Systems with Small Parameters
- Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries