Remarks on the regularity to 3D ideal magnetohydrodynamic equations (Q705105)

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scientific article; zbMATH DE number 2130975
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Remarks on the regularity to 3D ideal magnetohydrodynamic equations
scientific article; zbMATH DE number 2130975

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    Remarks on the regularity to 3D ideal magnetohydrodynamic equations (English)
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    25 January 2005
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    The authors are interested in sufficient conditions which guarantee the regularity of solutions of 3D ideal magnetohydrodynamic equations in the arbitrary time interval \([0,T]\). Five sufficient conditions are given. The 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 3D Euler equations to 3D ideal magnetohydrodynamic equations.
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    sufficient regularity conditions
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