Analyticity of the global attractor for the 3D regularized MHD equations
We study the three-dimensional (3D) regularized magnetohydrodynamics (MHD) equations. Using the method of splitting of the asymptotic approximate solutions into higher and lower Fourier components, we prove that the global attractor of the 3D regularized MHD equations consists of real analytic f...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2016-07-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/179/abstr.html |
| _version_ | 1818596580416028672 |
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| author | Caidi Zhao Bei Li |
| author_facet | Caidi Zhao Bei Li |
| author_sort | Caidi Zhao |
| collection | DOAJ |
| description | We study the three-dimensional (3D) regularized
magnetohydrodynamics (MHD) equations. Using the method of splitting
of the asymptotic approximate solutions into higher and lower
Fourier components, we prove that the global attractor of the 3D
regularized MHD equations consists of real analytic functions,
whenever the forcing terms are analytic. |
| first_indexed | 2024-12-16T11:34:10Z |
| format | Article |
| id | doaj.art-f1e9563d014a41aca4e72c1a27cd517f |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-16T11:34:10Z |
| publishDate | 2016-07-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-f1e9563d014a41aca4e72c1a27cd517f2022-12-21T22:33:10ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912016-07-012016179,120Analyticity of the global attractor for the 3D regularized MHD equationsCaidi Zhao0Bei Li1 Wenzhou Univ., Zhejiang 325035, China Wenzhou Univ., Zhejiang 325035, China We study the three-dimensional (3D) regularized magnetohydrodynamics (MHD) equations. Using the method of splitting of the asymptotic approximate solutions into higher and lower Fourier components, we prove that the global attractor of the 3D regularized MHD equations consists of real analytic functions, whenever the forcing terms are analytic.http://ejde.math.txstate.edu/Volumes/2016/179/abstr.htmlRegularized MHD equationsglobal attractorGevrey regularityanalyticity |
| spellingShingle | Caidi Zhao Bei Li Analyticity of the global attractor for the 3D regularized MHD equations Electronic Journal of Differential Equations Regularized MHD equations global attractor Gevrey regularity analyticity |
| title | Analyticity of the global attractor for the 3D regularized MHD equations |
| title_full | Analyticity of the global attractor for the 3D regularized MHD equations |
| title_fullStr | Analyticity of the global attractor for the 3D regularized MHD equations |
| title_full_unstemmed | Analyticity of the global attractor for the 3D regularized MHD equations |
| title_short | Analyticity of the global attractor for the 3D regularized MHD equations |
| title_sort | analyticity of the global attractor for the 3d regularized mhd equations |
| topic | Regularized MHD equations global attractor Gevrey regularity analyticity |
| url | http://ejde.math.txstate.edu/Volumes/2016/179/abstr.html |
| work_keys_str_mv | AT caidizhao analyticityoftheglobalattractorforthe3dregularizedmhdequations AT beili analyticityoftheglobalattractorforthe3dregularizedmhdequations |