On a Quasi-Neutral Approximation to the Incompressible Euler Equations
We rigorously justify a singular Euler-Poisson approximation of the incompressible Euler equations in the quasi-neutral regime for plasma physics. Using the modulated energy estimates, the rate convergence of Euler-Poisson systems to the incompressible Euler equations is obtained.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/957185 |
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| _version_ | 1832555922073845760 |
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| author | Jianwei Yang Zhitao Zhuang |
| author_facet | Jianwei Yang Zhitao Zhuang |
| author_sort | Jianwei Yang |
| collection | DOAJ |
| description | We rigorously justify a singular Euler-Poisson approximation of the incompressible Euler equations in the quasi-neutral regime for plasma physics. Using the modulated energy estimates, the rate convergence of Euler-Poisson systems to the incompressible Euler equations is obtained. |
| format | Article |
| id | doaj-art-621b04a140834260a6f6d62ae8f71cc8 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-621b04a140834260a6f6d62ae8f71cc82025-02-03T05:46:45ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/957185957185On a Quasi-Neutral Approximation to the Incompressible Euler EquationsJianwei Yang0Zhitao Zhuang1College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450011, ChinaCollege of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450011, ChinaWe rigorously justify a singular Euler-Poisson approximation of the incompressible Euler equations in the quasi-neutral regime for plasma physics. Using the modulated energy estimates, the rate convergence of Euler-Poisson systems to the incompressible Euler equations is obtained.http://dx.doi.org/10.1155/2012/957185 |
| spellingShingle | Jianwei Yang Zhitao Zhuang On a Quasi-Neutral Approximation to the Incompressible Euler Equations Journal of Applied Mathematics |
| title | On a Quasi-Neutral Approximation to the Incompressible Euler Equations |
| title_full | On a Quasi-Neutral Approximation to the Incompressible Euler Equations |
| title_fullStr | On a Quasi-Neutral Approximation to the Incompressible Euler Equations |
| title_full_unstemmed | On a Quasi-Neutral Approximation to the Incompressible Euler Equations |
| title_short | On a Quasi-Neutral Approximation to the Incompressible Euler Equations |
| title_sort | on a quasi neutral approximation to the incompressible euler equations |
| url | http://dx.doi.org/10.1155/2012/957185 |
| work_keys_str_mv | AT jianweiyang onaquasineutralapproximationtotheincompressibleeulerequations AT zhitaozhuang onaquasineutralapproximationtotheincompressibleeulerequations |