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arxiv: 1306.2760 · v2 · pith:AHG265SZnew · submitted 2013-06-12 · 🧮 math.AP

Global regularity of logarithmically supercritical MHD system with zero diffusivity

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keywords logarithmicallydiffusivityglobalregularitysupercriticalsystemzerocase
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We prove the global regularity of the solution pair to the N-dimensional logarithmically supercritical magnetohydrodynamics system with zero diffusivity. This is the endpoint case omitted in the work of [24]; it also improves some previous results logarithmically.

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