N ov 2 00 8 Semiclassical and relaxation limits of bipolar quantum hydrodynamic model ∗
نویسندگان
چکیده
The global in-time semiclassical and relaxation limits of the bipolar quantum hydrodynamic model for semiconductors are investigated in R. We prove that the unique strong solution converges globally in time to the strong solution of classical bipolar hydrodynamical equation in the process of semiclassical limit and to that of the classical Drift-Diffusion system under the combined relaxation and semiclassical limits.
منابع مشابه
ar X iv : 0 81 1 . 37 90 v 1 [ m at h - ph ] 2 4 N ov 2 00 8 Algebraic time - decay for the bipolar quantum hydrodynamic model ∗
The initial value problem is considered in the present paper for bipolar quantum hydrodynamic model for semiconductors (QHD) in R. We prove that the unique strong solution exists globally in time and tends to the asymptotical state with an algebraic rate as t → +∞. And, we show that the global solution of linearized bipolar QHD system decays in time at an algebraic decay rate from both above an...
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