Semiclassical and relaxation limits of bipolar quantum hydrodynamic model
Mathematical Physics
2008-11-25 v1 Analysis of PDEs
math.MP
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 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.
Keywords
Cite
@article{arxiv.0811.3791,
title = {Semiclassical and relaxation limits of bipolar quantum hydrodynamic model},
author = {Guojing Zhang and Hai-Liang Li and Kaijun Zhang},
journal= {arXiv preprint arXiv:0811.3791},
year = {2008}
}
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21 pages