Physics – Mathematical Physics
Scientific paper
2008-11-24
J. Differential Equations 245 (2008),no. 6, 1433--1453
Physics
Mathematical Physics
21 pages
Scientific paper
10.1016/j.jde.2008.06.019
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 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.
li Hai-Liang
Zhang Guojing
Zhang Kaijun
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