Weak solutions to a hydrodynamic model for semiconductors: the Cauchy problem-Reference-Cited by-同舟云学术

Weak solutions to a hydrodynamic model for semiconductors: the Cauchy problem

Published:1995 Issue:1 Volume:125 Page:115-131
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Marcati Pierangelo,Natalini Roberto

Abstract

We investigate the Cauchy problem for a hydrodynamic model for semiconductors. An existence theorem of global weak solutions with large initial data is obtained by using the fractional step Lax—Friedrichs scheme and Godounov scheme.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference35 articles.

1. Semiconductor Equations

2. Young measures and an application of compensated compactness to one-dimensional nonlinear elastodynamics

3. On a one-dimensional steady-state hydrodynamic model for semiconductors

4. Convergence of the Lax—Friedrichs scheme for isentropic gas dynamics (I) (II);Ding;Acta Math. Sci.,1985

Cited by 83 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. Global solutions and relaxation limit to the Cauchy problem of a hydrodynamic model for semiconductors;Journal of Differential Equations;2024-06

2. Local Smooth Solutions to the Euler-Poissonequations for Semiconductor in Vacuum;2024

3. Quasi-Neutral Limit to Steady-State Hydrodynamic Model of Semiconductors with Degenerate Boundary;SIAM Journal on Mathematical Analysis;2023-07-13

4. Existence of entropy solutions to system of polytropic gas with a class of unbounded sources;Journal of Nonlinear and Variational Analysis;2023-06-01

5. Global solutions of the Cauchy problem to Euler–Poisson equations of two-carrier types;Applied Mathematics Letters;2022-10