Existence of Global Solutions for Nonlinear Magnetohydrodynamics with Finite Larmor Radius Corrections
We discuss the existence of global solutions to the magnetohydrodynamics (MHD) equations, where the effects of finite Larmor radius corrections are taken into account. Unlike the usual MHD, the pressure is a tensor and it depends on not only the density but also the magnetic field. We show the exist...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2018/9867215 |
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| _version_ | 1832554283555356672 |
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| author | Fariha Elsrrawi Harumi Hattori |
| author_facet | Fariha Elsrrawi Harumi Hattori |
| author_sort | Fariha Elsrrawi |
| collection | DOAJ |
| description | We discuss the existence of global solutions to the magnetohydrodynamics (MHD) equations, where the effects of finite Larmor radius corrections are taken into account. Unlike the usual MHD, the pressure is a tensor and it depends on not only the density but also the magnetic field. We show the existence of global solutions by the energy methods. Our techniques of proof are based on the existence of local solution by semigroups theory and a priori estimate. |
| format | Article |
| id | doaj-art-5e9cd8a9c2964106a1ae703dc3d04071 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-5e9cd8a9c2964106a1ae703dc3d040712025-02-03T05:51:51ZengWileyInternational Journal of Differential Equations1687-96431687-96512018-01-01201810.1155/2018/98672159867215Existence of Global Solutions for Nonlinear Magnetohydrodynamics with Finite Larmor Radius CorrectionsFariha Elsrrawi0Harumi Hattori1Department of Mathematics, West Virginia University, Morgantown, WV, USADepartment of Mathematics, West Virginia University, Morgantown, WV, USAWe discuss the existence of global solutions to the magnetohydrodynamics (MHD) equations, where the effects of finite Larmor radius corrections are taken into account. Unlike the usual MHD, the pressure is a tensor and it depends on not only the density but also the magnetic field. We show the existence of global solutions by the energy methods. Our techniques of proof are based on the existence of local solution by semigroups theory and a priori estimate.http://dx.doi.org/10.1155/2018/9867215 |
| spellingShingle | Fariha Elsrrawi Harumi Hattori Existence of Global Solutions for Nonlinear Magnetohydrodynamics with Finite Larmor Radius Corrections International Journal of Differential Equations |
| title | Existence of Global Solutions for Nonlinear Magnetohydrodynamics with Finite Larmor Radius Corrections |
| title_full | Existence of Global Solutions for Nonlinear Magnetohydrodynamics with Finite Larmor Radius Corrections |
| title_fullStr | Existence of Global Solutions for Nonlinear Magnetohydrodynamics with Finite Larmor Radius Corrections |
| title_full_unstemmed | Existence of Global Solutions for Nonlinear Magnetohydrodynamics with Finite Larmor Radius Corrections |
| title_short | Existence of Global Solutions for Nonlinear Magnetohydrodynamics with Finite Larmor Radius Corrections |
| title_sort | existence of global solutions for nonlinear magnetohydrodynamics with finite larmor radius corrections |
| url | http://dx.doi.org/10.1155/2018/9867215 |
| work_keys_str_mv | AT farihaelsrrawi existenceofglobalsolutionsfornonlinearmagnetohydrodynamicswithfinitelarmorradiuscorrections AT harumihattori existenceofglobalsolutionsfornonlinearmagnetohydrodynamicswithfinitelarmorradiuscorrections |