  The incompressible Micropolar system is given by two coupled equations: the
first equation gives the evolution of the velocity field u while the second
equation gives the evolution of the microrotation field $\omega$. In this
article we will consider regularity problems for weak solutions of this system.
For this we will introduce the new notion of partial suitable solutions, which
imposes a specific behavior for the velocity field u only, and under some
classical hypotheses over the pressure, we will obtain a h{\"o}lderian gain for
both variables u and $\omega$.
