Semiclassical and relaxation limits of bipolar quantum hydrodynamic model for semiconductors

摘要

The global in-time semiclassical and relaxation limits of the bipolar quantum hydrodynamic model for semiconductors are investigated in R-3. 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. (C) 2008 Elsevier Inc. All rights reserved.