Compressible Euler-Maxwell equations

Journal article

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∞.

Authors: Chen, G; Jerome, J; Wang, D

• Journal: Transport Theory and Statistical Physics
• Volume: 29
• Issue: 3-5
• Pages: 311-331
• Publication date: 2000-01-01
• DOI: 10.1080/00411450008205877
• EISSN: 1532-2424
• ISSN: 0041-1450
• Language: English