Compressible Euler-Maxwell equations
Compressible Euler-Maxwell equations
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DOI:
10.1080/00411450008205877
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发表时间:
2000-04
影响因子:
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通讯作者:
Gui-Qiang G. Chen;J. Jerome;Dehua Wang
中科院分区:
文献类型:
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作者:
Gui-Qiang G. Chen;J. Jerome;Dehua Wang
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 hound 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∞