Energy dissipation for weak solutions of incompressible MHD equations |
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| Authors: | Zhensheng GAO Zhong TAN Guochun WU |
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| Affiliation: | 1. School of Mathematical Sciences, Huaqiao University, Fujian 362021, China;2. School of Mathematical Sciences, Xiamen University, Fujian 361005, China;3. School of Mathematical Sciences, Xiamen University, Fujian 361005, China |
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| Abstract: | In this article, we mainly study the local equation of energy for weak solutions of 3D MHD equations. We define a dissipation term D(u, B) that stems from an eventual lack of smoothness in the solution, and then obtain a local equation of energy for weak solutions of 3D MHD equations. Finally, we consider the 2D case at the end of this article. |
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| Keywords: | Energy dissipation incompressible MHD equations |
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