Abstract
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 bound and H-1 compactness 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∞.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 311-331 |
| Number of pages | 21 |
| Journal | Transport Theory and Statistical Physics |
| Volume | 29 |
| Issue number | 3-5 |
| DOIs | |
| State | Published - 2000 |
Funding
Acknowledgements: The research of the first author is supported by Office of Naval Research grant N00014-91-5-1384, by National Science Foundation grant DMS-9623203, and by an Alfred P. Sloan fellowship. The research of the second author is supported by National Science Foundation grants DMS-9424464 and DMS-9704458. The authors thank S.M. El-Ghazaly for valuable suggestions and information, and Irene Gamba and Carl Gardner for valuable discussions.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Transportation
- General Physics and Astronomy
- Applied Mathematics