Compressible Euler-Maxwell Equations
By: Gui-Qiang Chen, Joseph W. Jerome, and Dehua
Wang
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
energy space 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 the space of essentially
bounded functions.
This paper appears in
Transport Theory and Statistical Physics,
vol. 29 (2000), pages 311--331.
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