We prove that in general surface bundle over the circle with pseudo-Anosov monodromy can have taut foliation which cannot be conjugated to the fibration or the models foliations. We also build smooth minimal foliations on surfaces bundles over the circle whose fibers are not compact.
"Feuilletages sans feuille compacte sur les fibrés en surfaces sur le cercle." Afr. Diaspora J. Math. (N.S.) 11 (2) 78 - 89, 2011.