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In this paper, we prove that the $L^4$-norm of Ricci curvature is uniformlybounded along a K\"ahler-Ricci flow on any minimal algebraic manifold. As anapplication, we show that on any minimal algebraic manifold $M$ of general typeand with dimension $n\le 3$, any solution of the normalized K\"ahler-Ricci flowconverges to the unique singular K\"ahler-Einstein metric on the canonicalmodel of $M$ in the Cheeger-Gromov topology.

Convergence of K\"ahler-Ricci flow on lower dimensional algebraic manifolds of general type