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Global existence and decay of smooth solution for the 2-D MHD equations without magnetic diffusion |
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| Authors: | Xiaoxia Ren Jiahong Wu Zhaoyin Xiang Zhifei Zhang |
| Affiliation: | 1. School of Mathematical Sciences, Peking University, 100871, Beijing, PR China;2. Department of Mathematics, Oklahoma State University, 401 Mathematical Sciences, Stillwater, OK 74078, USA;3. Department of Mathematics, Chung-Ang University, Seoul 156-756, South Korea;4. School of Mathematical Sciences, University of Electronic Science and Technology of China, 610054, Chengdu, PR China;5. School of Mathematical Sciences and LMAM, Peking University, 100871, Beijing, PR China |
| Abstract: | We prove the global existence and the decay estimates of small smooth solution for the 2-D MHD equations without magnetic diffusion. This confirms the numerical observation that the energy of the MHD equations is dissipated at a rate independent of the ohmic resistivity. |
| Keywords: | MHD equations Global existence Large-time decay rates Partial dissipation |
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