We study the micropolar fluid system in a bounded three-dimensional domain and establish a necessary and sufficient condition on the initial data for the existence of a local strong solution. Our approach is based on the theory of weak solutions, which relies essentially on rewriting the problem in integral form and applying a fixed point argument. In addition, we investigate the uniqueness of weak solutions in the class Formula: see text satisfying the condition Formula: see text.
Loayza et al. (Fri,) studied this question.
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