THE GLOBAL WEAK SOLUTION AND RELAXATION LIMITS OF THE INITIAL–BOUNDARY VALUE PROBLEM TO THE BIPOLAR HYDRODYNAMIC MODEL FOR SEMICONDUCTORS-Reference-Cited by-同舟云学术

THE GLOBAL WEAK SOLUTION AND RELAXATION LIMITS OF THE INITIAL–BOUNDARY VALUE PROBLEM TO THE BIPOLAR HYDRODYNAMIC MODEL FOR SEMICONDUCTORS

Published:2000-12 Issue:09 Volume:10 Page:1333-1361
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

HSIAO LING¹,ZHANG KAIJUN¹

Affiliation:

1. Institute of Mathematics, Academia Sinica, Beijing 100080, P. R. China

Abstract

The convergence and consistency of approximate solutions derived by the modified Godunov scheme for the initial–boundary value problem to a bipolar hydrodynamic model for semiconductors are proved using the compensated compactness framework. The information of weak solutions to satisfy the boundary conditions is also displayed. The zero relaxation limit of the bipolar hydrodynamic model towards the drift-diffusion model is carried out when the current relaxation time tends to zero.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202500000653

Reference42 articles.

1. On a hierarchy of macroscopic models for semiconductors

2. An energy-transport model for semiconductors derived from the Boltzmann equation

3. Transport equations for electrons in two-valley semiconductors

4. CONVERGENCE OF THE LAX–FRIEDRICHS SCHEME FOR ISENTROPIC GAS DYNAMICS (III)

5. Zero relaxation and dissipation limits for hyperbolic conservation laws

Cited by 62 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Large-time behavior of solutions to three-dimensional bipolar Euler–Poisson equations with time-dependent damping;Applicable Analysis;2023-08-10

2. Asymptotic stability of nonlinear diffusion waves for the bipolar quantum Euler–Poisson system with time‐dependent damping;Mathematical Methods in the Applied Sciences;2022-10-31

3. Large-time behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping in the half space;Journal of Mathematical Analysis and Applications;2022-04

4. Asymptotic stability of a stationary solution for the bipolar full Euler–Poisson equation in a bounded domain;Nonlinear Analysis: Real World Applications;2022-04

5. Large-time behavior of solutions to the time-dependent damped bipolar Euler-Poisson system;Applicable Analysis;2021-08-20