The Non-Relativistic Limit for the e-MHD Equations
We investigate the non-relativistic limit for the e-MHD equations in a three-dimension unit periodic torus. With the prepared initial data, our result shows that the small parameter problems have unique solutions existing in the finite time interval where the corresponding limit problems (incompress...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/261082 |
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| _version_ | 1832554614259449856 |
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| author | Hongli Wang Jie Zhao |
| author_facet | Hongli Wang Jie Zhao |
| author_sort | Hongli Wang |
| collection | DOAJ |
| description | We investigate the non-relativistic limit for the e-MHD equations in a three-dimension unit periodic torus. With the prepared initial data, our result shows that the small parameter problems have unique solutions existing in the finite time interval where the corresponding limit problems (incompressible Euler equations) have smooth solutions. Moreover, the formal limit is rigorously justified. |
| format | Article |
| id | doaj-art-13176a1c43524a2eb03e64dc9518bc4d |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-13176a1c43524a2eb03e64dc9518bc4d2025-02-03T05:50:59ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/261082261082The Non-Relativistic Limit for the e-MHD EquationsHongli Wang0Jie Zhao1College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450011, ChinaZhengzhou Huimin Middle School, Zhengzhou 450000, ChinaWe investigate the non-relativistic limit for the e-MHD equations in a three-dimension unit periodic torus. With the prepared initial data, our result shows that the small parameter problems have unique solutions existing in the finite time interval where the corresponding limit problems (incompressible Euler equations) have smooth solutions. Moreover, the formal limit is rigorously justified.http://dx.doi.org/10.1155/2014/261082 |
| spellingShingle | Hongli Wang Jie Zhao The Non-Relativistic Limit for the e-MHD Equations The Scientific World Journal |
| title | The Non-Relativistic Limit for the e-MHD Equations |
| title_full | The Non-Relativistic Limit for the e-MHD Equations |
| title_fullStr | The Non-Relativistic Limit for the e-MHD Equations |
| title_full_unstemmed | The Non-Relativistic Limit for the e-MHD Equations |
| title_short | The Non-Relativistic Limit for the e-MHD Equations |
| title_sort | non relativistic limit for the e mhd equations |
| url | http://dx.doi.org/10.1155/2014/261082 |
| work_keys_str_mv | AT hongliwang thenonrelativisticlimitfortheemhdequations AT jiezhao thenonrelativisticlimitfortheemhdequations AT hongliwang nonrelativisticlimitfortheemhdequations AT jiezhao nonrelativisticlimitfortheemhdequations |