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Semiclassical and relaxation limits of bipolar quantum hydrodynamic model for semiconductors |
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| Authors: | Guojing Zhang Kaijun Zhang |
| Institution: | a Department of Mathematics, Harbin Institute of Technology, Harbin 150001, PR China b Department of Mathematics and Institute of Mathematics and Interdisciplinary Science, Capital Normal University, Beijing 100037, PR China c School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, PR China |
| Abstract: | The global in-time semiclassical and relaxation limits of the bipolar quantum hydrodynamic model for semiconductors are investigated in R3. 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. |
| Keywords: | Quantum hydrodynamics Semiclassical limit Relaxation limit |
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