Global Existence and Uniqueness of Strong Solutions for the Magnetohydrodynamic Equations
This paper is concerned with an initial boundary value problem in one-dimensional magnetohydrodynamics. We prove the global existence, uniqueness, and stability of strong solutions for the planar magnetohydrodynamic equations for isentropic compressible fluids in the case that vacuum can be allowed...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2008-02-01
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| Series: | Boundary Value Problems |
| Online Access: | http://dx.doi.org/10.1155/2008/735846 |
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doaj-98dd8bd3fa5046ca9792cdaa8527ccf32020-11-24T23:51:18ZengSpringerOpenBoundary Value Problems1687-27622008-02-01200810.1155/2008/735846Global Existence and Uniqueness of Strong Solutions for the Magnetohydrodynamic EquationsJianwen ZhangThis paper is concerned with an initial boundary value problem in one-dimensional magnetohydrodynamics. We prove the global existence, uniqueness, and stability of strong solutions for the planar magnetohydrodynamic equations for isentropic compressible fluids in the case that vacuum can be allowed initially.http://dx.doi.org/10.1155/2008/735846 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Jianwen Zhang |
| spellingShingle |
Jianwen Zhang Global Existence and Uniqueness of Strong Solutions for the Magnetohydrodynamic Equations Boundary Value Problems |
| author_facet |
Jianwen Zhang |
| author_sort |
Jianwen Zhang |
| title |
Global Existence and Uniqueness of Strong Solutions for the Magnetohydrodynamic Equations |
| title_short |
Global Existence and Uniqueness of Strong Solutions for the Magnetohydrodynamic Equations |
| title_full |
Global Existence and Uniqueness of Strong Solutions for the Magnetohydrodynamic Equations |
| title_fullStr |
Global Existence and Uniqueness of Strong Solutions for the Magnetohydrodynamic Equations |
| title_full_unstemmed |
Global Existence and Uniqueness of Strong Solutions for the Magnetohydrodynamic Equations |
| title_sort |
global existence and uniqueness of strong solutions for the magnetohydrodynamic equations |
| publisher |
SpringerOpen |
| series |
Boundary Value Problems |
| issn |
1687-2762 |
| publishDate |
2008-02-01 |
| description |
This paper is concerned with an initial boundary value problem in one-dimensional magnetohydrodynamics. We prove the global existence, uniqueness, and stability of strong solutions for the planar magnetohydrodynamic equations for isentropic compressible fluids in the case that vacuum can be allowed initially. |
| url |
http://dx.doi.org/10.1155/2008/735846 |
| work_keys_str_mv |
AT jianwenzhang globalexistenceanduniquenessofstrongsolutionsforthemagnetohydrodynamicequations |
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1725476525768179712 |