On the interior regularity criteria for suitable weak solutions of the magnetohydrodynamics equations (Q2870584)

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scientific article; zbMATH DE number 6248237
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On the interior regularity criteria for suitable weak solutions of the magnetohydrodynamics equations
scientific article; zbMATH DE number 6248237

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    21 January 2014
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    magnetohydrodynamics equations
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    suitable weak solutions
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    interior regularity criteria
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    \(\varepsilon\)-regularity criteria
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    partial regularity theory
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    On the interior regularity criteria for suitable weak solutions of the magnetohydrodynamics equations (English)
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    The paper concerns the \(\varepsilon\)-regularity criteria of suitable weak solutions to the magnetohydrodynamics equations, which is the key to study the partial regularity theory. The main contribution of this paper is to establish the \(\varepsilon\)-regularity criteria depending only on velocity field, which improved the known one depending on both velocity field and magnetic field.
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