Abstract
In this paper, we investigate the existence of global classical solution to the Cauchy problem for the three-dimensional micropolar fluid equations with vacuum. Precisely, when the far-field density is vacuum, we get the global classical solution under the assumption that (γ−1)13E0 is suitably small, where γ is the adiabatic exponent and E0 is the initial energy. This is a Nishida-Smoller type global solvability result to three-dimensional micropolar fluid equations and improves the results obtained by [2,15].
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