Optimal initial condition for the local existence of strong solutions of the micropolar fluids

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].