Compressible Euler-Maxwell equations

Gui Qiang Chen*, Joseph W. Jerome, Dehua Wang

*Corresponding author for this work

Research output: Contribution to journalArticle

76 Scopus citations

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 languageEnglish (US)
Pages (from-to)311-331
Number of pages21
JournalTransport Theory and Statistical Physics
Volume29
Issue number3-5
DOIs
StatePublished - Jan 1 2000

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Transportation
  • Physics and Astronomy(all)
  • Applied Mathematics

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