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1. Semiclassical and relaxation limits of bipolar quantum hydrodynamic model for semiconductors

Author

Zhang, Guojing, Li, Hai-Liang, and Zhang, Kaijun

Subjects
*MATHEMATICAL models of hydrodynamics, *SEMICONDUCTORS, *DIFFERENTIAL equations, *QUANTUM theory, *STOCHASTIC convergence, *RELAXATION methods (Mathematics)
Abstract

Abstract: The global in-time semiclassical and relaxation limits of the bipolar quantum hydrodynamic model for semiconductors are investigated in . We prove that the unique strong solution exists and converges globally in time to the strong solution of classical bipolar hydrodynamical equation in the process of semiclassical limit and that of the classical drift–diffusion system under the combined relaxation and semiclassical limits. [Copyright &y& Elsevier]

Published
2008
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