Semiclassical and relaxation limits of bipolar quantum hydrodynamic model for semiconductors

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:245

Article

Zhang, Guojing⁴  Li, Hai-Liang^1,2  Zhang, Kaijun³ 

[1] Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China

[2] Capital Normal Univ, Inst Math & Interdisciplinary Sci, Beijing 100037, Peoples R China

[3] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

[4] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

关键词: quantum hydrodynamics;    semiclassical limit;    relaxation limit;   

DOI  :  10.1016/j.jde.2008.06.019

来源: Elsevier

【 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.

【 授权许可】

Free