Stabilities for Nonisentropic Euler-Poisson Equations
We establish the stabilities and blowup results for the nonisentropic Euler-Poisson equations by the energy method. By analysing the second inertia, we show that the classical solutions of the system with attractive forces blow up in finite time in some special dimensions when the energy is negative...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2015/494707 |
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| _version_ | 1832557128795029504 |
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| author | Ka Luen Cheung Sen Wong |
| author_facet | Ka Luen Cheung Sen Wong |
| author_sort | Ka Luen Cheung |
| collection | DOAJ |
| description | We establish the stabilities and blowup results for the nonisentropic Euler-Poisson equations by the energy method. By analysing the second inertia, we show that the classical solutions of the system with attractive forces blow up in finite time in some special dimensions when the energy is negative. Moreover, we obtain the stabilities results for the system in the cases of attractive and repulsive forces. |
| format | Article |
| id | doaj-art-cc2a924afbff47959fb7362ea60ea27c |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-cc2a924afbff47959fb7362ea60ea27c2025-02-03T05:43:38ZengWileyThe Scientific World Journal2356-61401537-744X2015-01-01201510.1155/2015/494707494707Stabilities for Nonisentropic Euler-Poisson EquationsKa Luen Cheung0Sen Wong1Department of Mathematics and Information Technology, The Hong Kong Institute of Education, 10 Lo Ping Road, Tai Po, New Territories, Hong KongDepartment of Mathematics and Information Technology, The Hong Kong Institute of Education, 10 Lo Ping Road, Tai Po, New Territories, Hong KongWe establish the stabilities and blowup results for the nonisentropic Euler-Poisson equations by the energy method. By analysing the second inertia, we show that the classical solutions of the system with attractive forces blow up in finite time in some special dimensions when the energy is negative. Moreover, we obtain the stabilities results for the system in the cases of attractive and repulsive forces.http://dx.doi.org/10.1155/2015/494707 |
| spellingShingle | Ka Luen Cheung Sen Wong Stabilities for Nonisentropic Euler-Poisson Equations The Scientific World Journal |
| title | Stabilities for Nonisentropic Euler-Poisson Equations |
| title_full | Stabilities for Nonisentropic Euler-Poisson Equations |
| title_fullStr | Stabilities for Nonisentropic Euler-Poisson Equations |
| title_full_unstemmed | Stabilities for Nonisentropic Euler-Poisson Equations |
| title_short | Stabilities for Nonisentropic Euler-Poisson Equations |
| title_sort | stabilities for nonisentropic euler poisson equations |
| url | http://dx.doi.org/10.1155/2015/494707 |
| work_keys_str_mv | AT kaluencheung stabilitiesfornonisentropiceulerpoissonequations AT senwong stabilitiesfornonisentropiceulerpoissonequations |