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Existence and uniqueness of steady solutions to the magnetohydrodynamic equations of compressible flows |
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| Authors: | Yong-Fu Yang Xiaohua Gu Changsheng Dou |
| Institution: | 1. Department of Mathematics, College of Sciences, Hohai University, Nanjing 210098, Jiangsu Province, PR China;2. School of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, Jiangsu Province, PR China;3. School of Statistics, Capital University of Economics and Business, Beijing 100070, PR China |
| Abstract: | We establish the existence and uniqueness of a strong solution to the steady magnetohydrodynamic equations for the compressible barotropic fluids in a bounded smooth domain with a perfectly conducting boundary, under the assumption that the external force field is small. |
| Keywords: | Magnetohydrodynamics (MHD) equations Compressible flows Steady solutions Existence and uniqueness |
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