Local Existence of Solutions to the Non-Resistive 3D MHD Equations with Power-law Type

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Jae-Myoung Kim
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[1] Andong National University,Department of Mathematics Education
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We investigate the local-in-time existence results of solutions to non-resistive 3D MHD equations with power-law type nonlinear viscous fluid when magnetic resistance is vanished. Furthermore, if the existence of the global in time regular solution is guaranteed, the large time behavior result for solutions is obtained under the suitable assumption for the stress tensor part.
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