Dissipative measure-valued solutions to the magnetohydrodynamic equations
In this paper, we study the dissipative measure-valued solution to the magnetohydrodynamic equations of 3D compressible isentropic flows with the adiabatic exponent γ > 1 and prove that a dissipative measure-valued solution is the same as the standard smooth classical solution as long as the lat...
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2025-01-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://gc.vgtu.lt/index.php/MMA/article/view/19998 |
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| author | Jianwei Yang Huimin Wang Qihong Shi |
| author_facet | Jianwei Yang Huimin Wang Qihong Shi |
| author_sort | Jianwei Yang |
| collection | DOAJ |
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In this paper, we study the dissipative measure-valued solution to the magnetohydrodynamic equations of 3D compressible isentropic flows with the adiabatic exponent γ > 1 and prove that a dissipative measure-valued solution is the same as the standard smooth classical solution as long as the latter exists, provided they emanate from the same initial data (weak–strong) uniqueness principle.
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| format | Article |
| id | doaj-art-ce3744d74ff646b49a6b3e401960a713 |
| institution | Kabale University |
| issn | 1392-6292 1648-3510 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj-art-ce3744d74ff646b49a6b3e401960a7132025-01-27T16:30:19ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102025-01-0130110.3846/mma.2025.19998Dissipative measure-valued solutions to the magnetohydrodynamic equationsJianwei Yang0Huimin Wang1Qihong Shi2School of Mathematics and Statistics, North China University of Water Resources and Electric Power, 450045 Zhengzhou, ChinaSchool of Mathematics and Statistics, North China University of Water Resources and Electric Power, 450045 Zhengzhou, ChinaDepartment of Mathematics, Lanzhou University of Technology, 730050 Lanzhou, China In this paper, we study the dissipative measure-valued solution to the magnetohydrodynamic equations of 3D compressible isentropic flows with the adiabatic exponent γ > 1 and prove that a dissipative measure-valued solution is the same as the standard smooth classical solution as long as the latter exists, provided they emanate from the same initial data (weak–strong) uniqueness principle. https://gc.vgtu.lt/index.php/MMA/article/view/19998compressible magnetohydrodynamic equationsmeasure-valued solutionweak-strong uniqueness |
| spellingShingle | Jianwei Yang Huimin Wang Qihong Shi Dissipative measure-valued solutions to the magnetohydrodynamic equations Mathematical Modelling and Analysis compressible magnetohydrodynamic equations measure-valued solution weak-strong uniqueness |
| title | Dissipative measure-valued solutions to the magnetohydrodynamic equations |
| title_full | Dissipative measure-valued solutions to the magnetohydrodynamic equations |
| title_fullStr | Dissipative measure-valued solutions to the magnetohydrodynamic equations |
| title_full_unstemmed | Dissipative measure-valued solutions to the magnetohydrodynamic equations |
| title_short | Dissipative measure-valued solutions to the magnetohydrodynamic equations |
| title_sort | dissipative measure valued solutions to the magnetohydrodynamic equations |
| topic | compressible magnetohydrodynamic equations measure-valued solution weak-strong uniqueness |
| url | https://gc.vgtu.lt/index.php/MMA/article/view/19998 |
| work_keys_str_mv | AT jianweiyang dissipativemeasurevaluedsolutionstothemagnetohydrodynamicequations AT huiminwang dissipativemeasurevaluedsolutionstothemagnetohydrodynamicequations AT qihongshi dissipativemeasurevaluedsolutionstothemagnetohydrodynamicequations |