Asymptotic behavior of the solutions of one-dimensional quantum Euler-Poisson equations
We study the one-dimensional quantum hydrodynamic system for semiconductors.It takes the isentropic Euler-Poisson equations with the quantum potential and momentum relaxation term in the momentum equations.We show the asymptotic behavior of the solutions for the initial value problem to one-dimensio...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Academic Journals Center of Shanghai Normal University
2013-12-01
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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=201306001&year_id=2013&quarter_id=6&falg=1 |
| Summary: | We study the one-dimensional quantum hydrodynamic system for semiconductors.It takes the isentropic Euler-Poisson equations with the quantum potential and momentum relaxation term in the momentum equations.We show the asymptotic behavior of the solutions for the initial value problem to one-dimensional quantum Euler-Poisson equations,when the far field states of the current density are inconsistent and the far field of the electric field is not zero.Choosing proper corrections and using the energy methods,we prove that the solutions of one-dimensional isentropic quantum Euler-Poisson equations decay exponentially fast to the stationary solutions.This result improves previous results in which the current density′s far fields are equal and the far field of the electric field is zero. |
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| ISSN: | 1000-5137 1000-5137 |