Strong solutions for the steady incompressible MHD equations of non-Newtonian fluids
In this paper we deal with a system of partial differential equations describing a steady motion of an incompressible magnetohydrodynamic fluid, where the extra stress tensor is induced by a potential with $p$-structure ($p=2$ corresponds to the Newtonian case). By using a fixed point argument in an...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Szeged
2020-04-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8233 |
| _version_ | 1797830476659949568 |
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| author | Weiwei Shi Changjia Wang |
| author_facet | Weiwei Shi Changjia Wang |
| author_sort | Weiwei Shi |
| collection | DOAJ |
| description | In this paper we deal with a system of partial differential equations describing a steady motion
of an incompressible magnetohydrodynamic fluid, where the extra stress tensor is induced by a potential with $p$-structure ($p=2$ corresponds to the Newtonian case). By using a fixed point argument in an appropriate functional setting, we proved the existence and uniqueness of strong solutions for the problem in a smooth domain $\Omega\subset\mathbb{R}^{n}$ $(n=2,3)$ under the conditions that the external force is small in a suitable norm. |
| first_indexed | 2024-04-09T13:37:48Z |
| format | Article |
| id | doaj.art-f024798fecc34fd291c9f8ca55c230a0 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:37:48Z |
| publishDate | 2020-04-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-f024798fecc34fd291c9f8ca55c230a02023-05-09T07:53:10ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752020-04-0120202311110.14232/ejqtde.2020.1.238233Strong solutions for the steady incompressible MHD equations of non-Newtonian fluidsWeiwei Shi0Changjia Wang1School of Science, Changchun University of Science and Techology, Changchun, P.R. ChinaSchool of Science, Changchun University of Science and Techology, Changchun, P.R. ChinaIn this paper we deal with a system of partial differential equations describing a steady motion of an incompressible magnetohydrodynamic fluid, where the extra stress tensor is induced by a potential with $p$-structure ($p=2$ corresponds to the Newtonian case). By using a fixed point argument in an appropriate functional setting, we proved the existence and uniqueness of strong solutions for the problem in a smooth domain $\Omega\subset\mathbb{R}^{n}$ $(n=2,3)$ under the conditions that the external force is small in a suitable norm.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8233strong solutionsexistence and uniquenessincompressible magnetohydrodynamicsnon-newtonian fluids |
| spellingShingle | Weiwei Shi Changjia Wang Strong solutions for the steady incompressible MHD equations of non-Newtonian fluids Electronic Journal of Qualitative Theory of Differential Equations strong solutions existence and uniqueness incompressible magnetohydrodynamics non-newtonian fluids |
| title | Strong solutions for the steady incompressible MHD equations of non-Newtonian fluids |
| title_full | Strong solutions for the steady incompressible MHD equations of non-Newtonian fluids |
| title_fullStr | Strong solutions for the steady incompressible MHD equations of non-Newtonian fluids |
| title_full_unstemmed | Strong solutions for the steady incompressible MHD equations of non-Newtonian fluids |
| title_short | Strong solutions for the steady incompressible MHD equations of non-Newtonian fluids |
| title_sort | strong solutions for the steady incompressible mhd equations of non newtonian fluids |
| topic | strong solutions existence and uniqueness incompressible magnetohydrodynamics non-newtonian fluids |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8233 |
| work_keys_str_mv | AT weiweishi strongsolutionsforthesteadyincompressiblemhdequationsofnonnewtonianfluids AT changjiawang strongsolutionsforthesteadyincompressiblemhdequationsofnonnewtonianfluids |