Inverse Boundary Value Problem for the Magnetohydrodynamics Equations
In this paper, we consider the stationary magnetohydrodynamics (MHD) equations in a bounded domain of ℝd d=2,3 with viscosity and magnetic diffusing. By the linearization technique, we prove that the uniqueness of viscosity function and magnetic diffusing function in the MHD equations is determined...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/9966687 |
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| _version_ | 1832546066397921280 |
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| author | Lianhua He Zhong Tan |
| author_facet | Lianhua He Zhong Tan |
| author_sort | Lianhua He |
| collection | DOAJ |
| description | In this paper, we consider the stationary magnetohydrodynamics (MHD) equations in a bounded domain of ℝd d=2,3 with viscosity and magnetic diffusing. By the linearization technique, we prove that the uniqueness of viscosity function and magnetic diffusing function in the MHD equations is determined from the knowledge of the Cauchy data measured on the boundary. |
| format | Article |
| id | doaj-art-704434e539a1453cb50766a46c59cf7d |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-704434e539a1453cb50766a46c59cf7d2025-02-03T07:23:53ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/99666879966687Inverse Boundary Value Problem for the Magnetohydrodynamics EquationsLianhua He0Zhong Tan1School of Mathematics Science, Guizhou Normal University, Guiyang 550001, ChinaSchool of Mathematical Sciences and Fujian Provincial Key Laboratory on Mathematical Modeling and Scientific Computing, Xiamen University, Xiamen 361005, ChinaIn this paper, we consider the stationary magnetohydrodynamics (MHD) equations in a bounded domain of ℝd d=2,3 with viscosity and magnetic diffusing. By the linearization technique, we prove that the uniqueness of viscosity function and magnetic diffusing function in the MHD equations is determined from the knowledge of the Cauchy data measured on the boundary.http://dx.doi.org/10.1155/2021/9966687 |
| spellingShingle | Lianhua He Zhong Tan Inverse Boundary Value Problem for the Magnetohydrodynamics Equations Journal of Function Spaces |
| title | Inverse Boundary Value Problem for the Magnetohydrodynamics Equations |
| title_full | Inverse Boundary Value Problem for the Magnetohydrodynamics Equations |
| title_fullStr | Inverse Boundary Value Problem for the Magnetohydrodynamics Equations |
| title_full_unstemmed | Inverse Boundary Value Problem for the Magnetohydrodynamics Equations |
| title_short | Inverse Boundary Value Problem for the Magnetohydrodynamics Equations |
| title_sort | inverse boundary value problem for the magnetohydrodynamics equations |
| url | http://dx.doi.org/10.1155/2021/9966687 |
| work_keys_str_mv | AT lianhuahe inverseboundaryvalueproblemforthemagnetohydrodynamicsequations AT zhongtan inverseboundaryvalueproblemforthemagnetohydrodynamicsequations |