Stability of the 3D incompressible MHD equations with horizontal dissipation in periodic domain
The stability problem on the magnetohydrodynamics (MHD) equations with partial or no dissipation is not well-understood. This paper focuses on the 3D incompressible MHD equations with mixed partial dissipation and magnetic diffusion. Our main result assesses the stability of perturbations near the s...
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| Format: | Article |
| Language: | English |
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AIMS Press
2021-08-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://aimspress.com/article/doi/10.3934/math.2021687?viewType=HTML |
| _version_ | 1819066420318699520 |
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| author | Ruihong Ji Ling Tian |
| author_facet | Ruihong Ji Ling Tian |
| author_sort | Ruihong Ji |
| collection | DOAJ |
| description | The stability problem on the magnetohydrodynamics (MHD) equations with partial or no dissipation is not well-understood. This paper focuses on the 3D incompressible MHD equations with mixed partial dissipation and magnetic diffusion. Our main result assesses the stability of perturbations near the steady solution given by a background magnetic field in periodic domain. The new stability result presented here is among few stability conclusions currently available for ideal or partially dissipated MHD equations. |
| first_indexed | 2024-12-21T16:02:04Z |
| format | Article |
| id | doaj.art-27b7c23eab8749b980baeb5e90f86973 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-21T16:02:04Z |
| publishDate | 2021-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-27b7c23eab8749b980baeb5e90f869732022-12-21T18:57:58ZengAIMS PressAIMS Mathematics2473-69882021-08-01611118371184910.3934/math.2021687Stability of the 3D incompressible MHD equations with horizontal dissipation in periodic domainRuihong Ji 0Ling Tian11. Geomathematics Key Laboratory of Sichuan Province, Chengdu 610059, China2. Chengdu University of Technology, Chengdu 610059, ChinaThe stability problem on the magnetohydrodynamics (MHD) equations with partial or no dissipation is not well-understood. This paper focuses on the 3D incompressible MHD equations with mixed partial dissipation and magnetic diffusion. Our main result assesses the stability of perturbations near the steady solution given by a background magnetic field in periodic domain. The new stability result presented here is among few stability conclusions currently available for ideal or partially dissipated MHD equations.https://aimspress.com/article/doi/10.3934/math.2021687?viewType=HTMLmhd equationshydrostatic equilibriumpartial dissipationstability |
| spellingShingle | Ruihong Ji Ling Tian Stability of the 3D incompressible MHD equations with horizontal dissipation in periodic domain AIMS Mathematics mhd equations hydrostatic equilibrium partial dissipation stability |
| title | Stability of the 3D incompressible MHD equations with horizontal dissipation in periodic domain |
| title_full | Stability of the 3D incompressible MHD equations with horizontal dissipation in periodic domain |
| title_fullStr | Stability of the 3D incompressible MHD equations with horizontal dissipation in periodic domain |
| title_full_unstemmed | Stability of the 3D incompressible MHD equations with horizontal dissipation in periodic domain |
| title_short | Stability of the 3D incompressible MHD equations with horizontal dissipation in periodic domain |
| title_sort | stability of the 3d incompressible mhd equations with horizontal dissipation in periodic domain |
| topic | mhd equations hydrostatic equilibrium partial dissipation stability |
| url | https://aimspress.com/article/doi/10.3934/math.2021687?viewType=HTML |
| work_keys_str_mv | AT ruihongji stabilityofthe3dincompressiblemhdequationswithhorizontaldissipationinperiodicdomain AT lingtian stabilityofthe3dincompressiblemhdequationswithhorizontaldissipationinperiodicdomain |