ENERGY-TRANSPORT LIMIT OF THE HYDRODYNAMIC MODEL FOR SEMICONDUCTORS
From MaRDI portal
Publication:3575394
DOI10.1142/S0218202510004489zbMath1195.35034MaRDI QIDQ3575394
Publication date: 27 July 2010
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
PDEs in connection with optics and electromagnetic theory (35Q60) Singular perturbations in context of PDEs (35B25) Statistical mechanics of semiconductors (82D37)
Related Items (5)
Energy-transport and drift-diffusion limits of nonisentropic Euler-Poisson equations ⋮ The well-posedness theory for Euler–Poisson fluids with non-zero heat conduction ⋮ Strong relaxation limit of multi-dimensional isentropic Euler equations ⋮ Relaxation-time limit in the multi-dimensional bipolar nonisentropic Euler-Poisson systems ⋮ Convergence of a non-isentropic Euler-Poisson system for all time
Cites Work
- Well-posedness and stability of classical solutions to the multidimensional full hydrodynamic model for semiconductors
- Compact sets in the space \(L^ p(0,T;B)\)
- Singular perturbations of first-order hyperbolic systems with stiff source terms
- Zero-relaxation-time limits in the hydrodynamic equations for plasmas revisited
- The relaxation of the hydrodynamic model for semiconductors to the drift-diffusion equations
- 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
- Relaxation-Time Limit in the Isothermal Hydrodynamic Model for Semiconductors
- A hierarchy of hydrodynamic models for plasmas zero-relaxation-time limits
- Particle hydrodynamic moment models in biology and microelectronics: Singular relaxation limits
- Global Existence of Smooth Solutions of theN-Dimensional Euler--Poisson Model
- Relaxation of the isothermal Euler-Poisson system to the drift-diffusion equations
- 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
- ASYMPTOTIC BEHAVIOR OF GLOBAL SMOOTH SOLUTIONS TO THE FULL 1D HYDRODYNAMIC MODEL FOR SEMICONDUCTORS
- Diffusive Relaxation Limit of Multidimensional Isentropic Hydrodynamical Models for Semiconductors
- GLOBAL EXPONENTIAL STABILITY OF CLASSICAL SOLUTIONS TO THE HYDRODYNAMIC MODEL FOR SEMICONDUCTORS
This page was built for publication: ENERGY-TRANSPORT LIMIT OF THE HYDRODYNAMIC MODEL FOR SEMICONDUCTORS