Large Time Behavior of the Vlasov-Poisson-Boltzmann System
The motion of dilute charged particles can be modeled by Vlasov-Poisson-Boltzmann system. We study the large time stability of the VPB system. To be precise, we prove that when time goes to infinity, the solution of VPB system tends to global Maxwellian state in a rate Ot−∞, by using a method develo...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/632903 |
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| author | Li Li Shuilin Jin Li Yang |
| author_facet | Li Li Shuilin Jin Li Yang |
| author_sort | Li Li |
| collection | DOAJ |
| description | The motion of dilute charged particles can be modeled by Vlasov-Poisson-Boltzmann system. We study the large time stability of the VPB system. To be precise, we prove that when time goes to infinity, the solution of VPB system tends to global Maxwellian state in a rate Ot−∞, by using a method developed for Boltzmann equation without force in the work of Desvillettes and Villani (2005). The improvement of the present paper is the removal of condition on parameter λ as in the work of Li (2008). |
| format | Article |
| id | doaj-art-3d5656338f7a40a1beae8785fde8b9a7 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3d5656338f7a40a1beae8785fde8b9a72025-02-03T01:26:49ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/632903632903Large Time Behavior of the Vlasov-Poisson-Boltzmann SystemLi Li0Shuilin Jin1Li Yang2Natural Science Research Center, Harbin Institute of Technology, Harbin 150080, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150080, ChinaDepartment of Foundation, Harbin Finance University, Harbin 150030, ChinaThe motion of dilute charged particles can be modeled by Vlasov-Poisson-Boltzmann system. We study the large time stability of the VPB system. To be precise, we prove that when time goes to infinity, the solution of VPB system tends to global Maxwellian state in a rate Ot−∞, by using a method developed for Boltzmann equation without force in the work of Desvillettes and Villani (2005). The improvement of the present paper is the removal of condition on parameter λ as in the work of Li (2008).http://dx.doi.org/10.1155/2013/632903 |
| spellingShingle | Li Li Shuilin Jin Li Yang Large Time Behavior of the Vlasov-Poisson-Boltzmann System Abstract and Applied Analysis |
| title | Large Time Behavior of the Vlasov-Poisson-Boltzmann System |
| title_full | Large Time Behavior of the Vlasov-Poisson-Boltzmann System |
| title_fullStr | Large Time Behavior of the Vlasov-Poisson-Boltzmann System |
| title_full_unstemmed | Large Time Behavior of the Vlasov-Poisson-Boltzmann System |
| title_short | Large Time Behavior of the Vlasov-Poisson-Boltzmann System |
| title_sort | large time behavior of the vlasov poisson boltzmann system |
| url | http://dx.doi.org/10.1155/2013/632903 |
| work_keys_str_mv | AT lili largetimebehaviorofthevlasovpoissonboltzmannsystem AT shuilinjin largetimebehaviorofthevlasovpoissonboltzmannsystem AT liyang largetimebehaviorofthevlasovpoissonboltzmannsystem |