| Remarks on the Regularity to 3-D Ideal Magnetohydrodynamic Equations |
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| 作者姓名： | Quan Sen JIU |
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| 作者单位： | Quan Sen JIU Department of Mathematics，Capital Normal University，Beijing 100037，P.R.China Cheng HE Institute of Applied Mathematics Academy of Mathematics and System Sciences，Chinese Academy of Sciences，Beijing 100080，P.R.China |
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| 基金项目： | The first author is partially Supported by Natural sciences Foundation of china(No.10101014)，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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| 摘 要： | In this paper we are interested in the sufficient conditions which guarantee the regularityof solutions of 3-D ideal magnetohydrodynamic equations in the arbitrary time interval 0,T].Fivesufficient conditions are given.Our results are motivated by two main ideas:one is to control theaccumulation of vorticity alone;the other is to generalize the corresponding geometric conditions of3-D Euler equations to 3-D ideal magnetohydrodynamic equations.
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Remarks on the Regularity to 3-D Ideal Magnetohydrodynamic Equations |
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| Quan Sen JIU.Remarks on the Regularity to 3-D Ideal Magnetohydrodynamic Equations[J].Acta Mathematicae Applicatae Sinica,2004(4). |
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| Authors: | Quan Sen JIU |
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| Institution: | Quan Sen JIU Department of Mathematics,Capital Normal University,Beijing 100037,P.R.China Cheng HE 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. |
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| Keywords: | Regular solutions Ideal magnetohydrodynamic equations |
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