The Cauchy Problem for the Incompressible 2D-MHD with Power Law-Type Nonlinear Viscous Fluid
We investigate a motion of the incompressible 2D-MHD with power law-type nonlinear viscous fluid. In this paper, we establish the global existence and uniqueness of a weak solution u,b depending on a number q in ℝ2. Moreover, the energy norm of the weak solutions to the fluid flows has decay rate 1+...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/6675729 |
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| _version_ | 1832563322094878720 |
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| author | Jae-Myoung Kim |
| author_facet | Jae-Myoung Kim |
| author_sort | Jae-Myoung Kim |
| collection | DOAJ |
| description | We investigate a motion of the incompressible 2D-MHD with power law-type nonlinear viscous fluid. In this paper, we establish the global existence and uniqueness of a weak solution u,b depending on a number q in ℝ2. Moreover, the energy norm of the weak solutions to the fluid flows has decay rate 1+t−1/2. |
| format | Article |
| id | doaj-art-da04596955cd404f9bd71d0c31bdd0a7 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-da04596955cd404f9bd71d0c31bdd0a72025-02-03T01:20:31ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/66757296675729The Cauchy Problem for the Incompressible 2D-MHD with Power Law-Type Nonlinear Viscous FluidJae-Myoung Kim0Department of Mathematics Education, Andong National University, Andong 36729, Republic of KoreaWe investigate a motion of the incompressible 2D-MHD with power law-type nonlinear viscous fluid. In this paper, we establish the global existence and uniqueness of a weak solution u,b depending on a number q in ℝ2. Moreover, the energy norm of the weak solutions to the fluid flows has decay rate 1+t−1/2.http://dx.doi.org/10.1155/2021/6675729 |
| spellingShingle | Jae-Myoung Kim The Cauchy Problem for the Incompressible 2D-MHD with Power Law-Type Nonlinear Viscous Fluid Advances in Mathematical Physics |
| title | The Cauchy Problem for the Incompressible 2D-MHD with Power Law-Type Nonlinear Viscous Fluid |
| title_full | The Cauchy Problem for the Incompressible 2D-MHD with Power Law-Type Nonlinear Viscous Fluid |
| title_fullStr | The Cauchy Problem for the Incompressible 2D-MHD with Power Law-Type Nonlinear Viscous Fluid |
| title_full_unstemmed | The Cauchy Problem for the Incompressible 2D-MHD with Power Law-Type Nonlinear Viscous Fluid |
| title_short | The Cauchy Problem for the Incompressible 2D-MHD with Power Law-Type Nonlinear Viscous Fluid |
| title_sort | cauchy problem for the incompressible 2d mhd with power law type nonlinear viscous fluid |
| url | http://dx.doi.org/10.1155/2021/6675729 |
| work_keys_str_mv | AT jaemyoungkim thecauchyproblemfortheincompressible2dmhdwithpowerlawtypenonlinearviscousfluid AT jaemyoungkim cauchyproblemfortheincompressible2dmhdwithpowerlawtypenonlinearviscousfluid |