A class of global large, smooth solutions for the magnetohydrodynamics with the Hall and ion-slip effects
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math.AP
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largeclasseffectsglobalhallion-slipsolutionsarbitrarily
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In this paper, the Cauchy's problem for fractional MHD system with the Hall and ion-slip effects is considered. By exploring the structure of semilinear and quasilinear terms, we prove the global existence of solutions for a class of large initial data. Both the velocity and magnetic fields could be arbitrarily large in $H^3(\mathbb{R}^3)$.
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