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Local well‐posedness for the Cauchy problem of the MHD equations with mass diffusion |
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| Authors: | Jishan Fan Lidiao Ni Yong Zhou |
| Affiliation: | 1. Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, People's Republic of China;2. Department of Mathematics, Hokkaido University, Sapporo 060‐0810, Japan;3. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, People's Republic of China |
| Abstract: | This paper studies the Cauchy problem of the MHD equations with mass diffusion. We use the Tikhonov fixed point theorem to prove a local‐in‐time well‐posedness theorem. Copyright © 2010 John Wiley & Sons, Ltd. |
| Keywords: | MHD mass diffusion Tikhonov theorem well‐posedness |