Remarks on the Regularity to 3-D Ideal Magnetohydrodynamic Equations |
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| Authors: | Email author" target="_blank">Quan?Sen?JiuEmail author Cheng?He |
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| Institution: | (1) Department of Mathematics, Capital Normal University, Beijing 100037, P. R. China;(2) Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, P. R. China |
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| Abstract: | In this paper we are interested in the sufficient conditions which guarantee the regularity of solutions of 3–D ideal magnetohydrodynamic
equations in the arbitrary time interval 0,T]. Five sufficient conditions are given. Our results are motivated by two main
ideas: one is to control the accumulation of vorticity alone; the other is to generalize the corresponding geometric conditions
of 3–D Euler equations to 3–D ideal magnetohydrodynamic equations.
The first author is partially supported by Natural Sciences Foundation of China (No. 10101014) and Beijing Education Committee
Foundation and the Key Project of NSFB-FBEC
The second author is partially supported by Natural Sciences Foundation of China |
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| Keywords: | Regular solutions Ideal magnetohydrodynamic equations |
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