The rotational speed limit and the blow-up phenomena of the rotation 2-component Camassa–Holm system

In this paper, we first establish the local well-posedness for the rotation 2-component Camassa–Holm system in nonhomogeneous Besov spaces. Then, we study the rotational speed limit in the same topology of Besov spaces with the same initial data. Finally, we obtain the blow-up strong solutions by providing a sufficient condition for initial data.