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The energy transport and the drift diffusion equations as relaxation limits of the hydrodynamic model for semiconductors

Ingenuin Gasser, Roberto Natalini

Quarterly of Applied Mathematics · 1999 · 64 citations · 19 references

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Abstract

Two relaxation limits of the hydrodynamic model for semiconductors are investigated.

References

19

Solutions in the large for nonlinear hyperbolic systems of equations

James Glimm · Communications on Pure and Applied Mathematics · 1965 · 1.6K citations

, , +11

Semiconductor equations

Mathematics and Computers in Simulation · 1991 · 1.4K citations · Full text

Compensated compactness and applications to partial differential equations

Luc Tartar · Medical Entomology and Zoology · 1979 · 1.1K citations

, , +9

Convergence of approximate solutions to conservation laws

Ronald J. DiPerna · Archive for Rational Mechanics and Analysis · 1983 · 570 citations

, , +11

On a hierarchy of macroscopic models for semiconductors

N. Ben Abdallah, Pierre Degond · Journal of Mathematical Physics · 1996 · 246 citations

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