Regularity of large solutions for the compressible magnetohydrodynamic equations
<p>Abstract</p> <p>In this paper, we consider the initial-boundary value problem of one-dimensional compressible magnetohydrodynamics flows. The existence and continuous dependence of global solutions in <it>H</it> <sup>1 </sup>have been established in Chen...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2011-01-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://www.boundaryvalueproblems.com/content/2011/1/30 |
| _version_ | 1818056757807677440 |
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| author | Qin Yuming Peng Xiaozhen Liu Xin |
| author_facet | Qin Yuming Peng Xiaozhen Liu Xin |
| author_sort | Qin Yuming |
| collection | DOAJ |
| description | <p>Abstract</p> <p>In this paper, we consider the initial-boundary value problem of one-dimensional compressible magnetohydrodynamics flows. The existence and continuous dependence of global solutions in <it>H</it> <sup>1 </sup>have been established in Chen and Wang (Z Angew Math Phys 54, 608-632, 2003). We will obtain the regularity of global solutions under certain assumptions on the initial data by deriving some new a priori estimates.</p> |
| first_indexed | 2024-12-10T12:33:55Z |
| format | Article |
| id | doaj.art-1d92ccd78894438c91f17bc99a04029c |
| institution | Directory Open Access Journal |
| issn | 1687-2762 1687-2770 |
| language | English |
| last_indexed | 2024-12-10T12:33:55Z |
| publishDate | 2011-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-1d92ccd78894438c91f17bc99a04029c2022-12-22T01:48:43ZengSpringerOpenBoundary Value Problems1687-27621687-27702011-01-012011130Regularity of large solutions for the compressible magnetohydrodynamic equationsQin YumingPeng XiaozhenLiu Xin<p>Abstract</p> <p>In this paper, we consider the initial-boundary value problem of one-dimensional compressible magnetohydrodynamics flows. The existence and continuous dependence of global solutions in <it>H</it> <sup>1 </sup>have been established in Chen and Wang (Z Angew Math Phys 54, 608-632, 2003). We will obtain the regularity of global solutions under certain assumptions on the initial data by deriving some new a priori estimates.</p>http://www.boundaryvalueproblems.com/content/2011/1/30magnetohydrodynamics (MHD)global solutionsregularityinitial-boundary value problem |
| spellingShingle | Qin Yuming Peng Xiaozhen Liu Xin Regularity of large solutions for the compressible magnetohydrodynamic equations Boundary Value Problems magnetohydrodynamics (MHD) global solutions regularity initial-boundary value problem |
| title | Regularity of large solutions for the compressible magnetohydrodynamic equations |
| title_full | Regularity of large solutions for the compressible magnetohydrodynamic equations |
| title_fullStr | Regularity of large solutions for the compressible magnetohydrodynamic equations |
| title_full_unstemmed | Regularity of large solutions for the compressible magnetohydrodynamic equations |
| title_short | Regularity of large solutions for the compressible magnetohydrodynamic equations |
| title_sort | regularity of large solutions for the compressible magnetohydrodynamic equations |
| topic | magnetohydrodynamics (MHD) global solutions regularity initial-boundary value problem |
| url | http://www.boundaryvalueproblems.com/content/2011/1/30 |
| work_keys_str_mv | AT qinyuming regularityoflargesolutionsforthecompressiblemagnetohydrodynamicequations AT pengxiaozhen regularityoflargesolutionsforthecompressiblemagnetohydrodynamicequations AT liuxin regularityoflargesolutionsforthecompressiblemagnetohydrodynamicequations |