The classical limit to a bipolar quantum hydrodynamic model of semiconductors in a bounded domain
We consider a one-dimensional bipolar isentropic quantum hydrodynamical model from semiconductor devices.First,we discuss the classical limit of the stationary solution.Then we discuss the classical limit of the non-stationary initial boundary problem for a one-dimensional case in a bounded domain.W...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Academic Journals Center of Shanghai Normal University
2015-04-01
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| Series: | Journal of Shanghai Normal University (Natural Sciences) |
| Subjects: | |
| Online Access: | http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/create_pdf.aspx?file_no=201502001&flag=1&year_id=2015&quarter_id=2 |
| Summary: | We consider a one-dimensional bipolar isentropic quantum hydrodynamical model from semiconductor devices.First,we discuss the classical limit of the stationary solution.Then we discuss the classical limit of the non-stationary initial boundary problem for a one-dimensional case in a bounded domain.We show that the solutions to the quantum hydrodynamic model of semiconductors approaches that to the hydrodynamic model of semiconductors as the scaled Planck constants <i>ε</i> tends to zero. |
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| ISSN: | 1000-5137 1000-5137 |