Compressible Euler-Maxwell equations
作者:
Gui-Qiang Chen,
J.W. Jerome,
D. Wang,
期刊:
Transport Theory and Statistical Physics
(Taylor Available online 2000)
卷期:
Volume 29,
issue 3-5
页码: 311-331
ISSN:0041-1450
年代: 2000
DOI:10.1080/00411450008205877
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The Euler-Maxwell equations as a hydrodynamic model of charge transport of semiconductors in an electromagnetic field are studied. The global approximate solutions to the initial-boundary value problem are constructed by the fractional Godunov scheme. The uniform hound andH−1compactness are proved. The approximate solutions are shown convergent by weak convergence methods. Then, with some new estimates due to the presence of electromagnetic fields, the existence of a global weak solution to the initial-boundary value problem is established for arbitrarily large initial data in L∞
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