The energy transport and the drift diffusion equations as relaxation limits of the hydrodynamic model for semiconductors
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چکیده
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Two relaxation limits of the hydrodynamic model for semiconductors are investigated. Using the compensated compactness tools we show the convergence of (scaled) entropy solutions of the hydrodynamic model to the solutions of the energy transport and the drift{diiusion equations, according respectively to diierent time scales.
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1999
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/1686190