Compressible Euler-Maxwell equations

Gui Qiang Chen; Joseph W. Jerome; Dehua Wang

doi:10.1080/00411450008205877

Compressible Euler-Maxwell equations

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

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

87 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 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	https://doi.org/10.1080/00411450008205877
State	Published - 2000

ASJC Scopus subject areas

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

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title = "Compressible Euler-Maxwell equations",

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∞.",

author = "Chen, {Gui Qiang} and Jerome, {Joseph W.} and Dehua Wang",

note = "Funding Information: 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.",

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doi = "10.1080/00411450008205877",

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AU - Chen, Gui Qiang

AU - Jerome, Joseph W.

AU - Wang, Dehua

N1 - Funding Information: 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.

PY - 2000

Y1 - 2000

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AB - 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∞.

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Compressible Euler-Maxwell equations

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