“…The use of Łojasiewicz-Simon inequalities has become a prominent tool for understanding stability properties and convergence of geometric flows. Apart from the above mentioned references, let us also recall the recent results on the uniqueness of blowups for the mean curvature flow [11,12,57], and the application of the method to constrained high order extrinsic flows [25,55,56]. The use of these inequalities has seen successful applications also in the context of intrinsic geometric flows, namely in [6,22].…”