Global Existence and Large Time Behavior of Solutions to the Bipolar Nonisentropic Euler-Poisson Equations
We study the one-dimensional bipolar nonisentropic Euler-Poisson equations which can model various physical phenomena, such as the propagation of electron and hole in submicron semiconductor devices, the propagation of positive ion and negative ion in plasmas, and the biological transport of ions fo...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/213569 |
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| author | Min Chen Yiyou Wang Yeping Li |
| author_facet | Min Chen Yiyou Wang Yeping Li |
| author_sort | Min Chen |
| collection | DOAJ |
| description | We study the one-dimensional bipolar nonisentropic Euler-Poisson equations which can model various physical phenomena, such as the propagation of electron and hole in submicron semiconductor devices, the propagation of positive ion and negative ion in plasmas, and the biological transport of ions for channel proteins. We show the existence and large time behavior of global smooth solutions for the initial value problem, when the difference of two particles’ initial mass is nonzero, and the far field of two particles’ initial temperatures is not the ambient device temperature. This result improves that of Y.-P. Li, for the case that the difference of two particles’ initial mass is zero, and the far field of the initial temperature is the ambient device temperature. |
| format | Article |
| id | doaj-art-5afa8724ba3e42ae9bd39dca60e60fa2 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-5afa8724ba3e42ae9bd39dca60e60fa22025-02-03T01:23:40ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/213569213569Global Existence and Large Time Behavior of Solutions to the Bipolar Nonisentropic Euler-Poisson EquationsMin Chen0Yiyou Wang1Yeping Li2Department of Mathematics, Hubei University of Science and Technology, Xianning 437100, ChinaDepartment of Mathematics, Shanghai Normal University, Shanghai 200234, ChinaDepartment of Mathematics, Shanghai Normal University, Shanghai 200234, ChinaWe study the one-dimensional bipolar nonisentropic Euler-Poisson equations which can model various physical phenomena, such as the propagation of electron and hole in submicron semiconductor devices, the propagation of positive ion and negative ion in plasmas, and the biological transport of ions for channel proteins. We show the existence and large time behavior of global smooth solutions for the initial value problem, when the difference of two particles’ initial mass is nonzero, and the far field of two particles’ initial temperatures is not the ambient device temperature. This result improves that of Y.-P. Li, for the case that the difference of two particles’ initial mass is zero, and the far field of the initial temperature is the ambient device temperature.http://dx.doi.org/10.1155/2014/213569 |
| spellingShingle | Min Chen Yiyou Wang Yeping Li Global Existence and Large Time Behavior of Solutions to the Bipolar Nonisentropic Euler-Poisson Equations Abstract and Applied Analysis |
| title | Global Existence and Large Time Behavior of Solutions to the Bipolar Nonisentropic Euler-Poisson Equations |
| title_full | Global Existence and Large Time Behavior of Solutions to the Bipolar Nonisentropic Euler-Poisson Equations |
| title_fullStr | Global Existence and Large Time Behavior of Solutions to the Bipolar Nonisentropic Euler-Poisson Equations |
| title_full_unstemmed | Global Existence and Large Time Behavior of Solutions to the Bipolar Nonisentropic Euler-Poisson Equations |
| title_short | Global Existence and Large Time Behavior of Solutions to the Bipolar Nonisentropic Euler-Poisson Equations |
| title_sort | global existence and large time behavior of solutions to the bipolar nonisentropic euler poisson equations |
| url | http://dx.doi.org/10.1155/2014/213569 |
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