Résumé
Commentarii Mathematici Helvetici (2014) ?? We study the long time behaviour of Ricci flow with bubbling-off on a possibly noncompact$3$ -manifold of finite volume whose universal cover has bounded geometry. As an application, we give a Ricci flow proof of Thurston's hyperbolisation theorem for$3$ -manifolds with toral boundary that generalizes Perelman's proof of the hyperbolisation conjecture in the closed case.