The Roman Catholic position holds that Christ had two natures and therefore two intellects.
The Man-God possessed, not merely a Divine, but also a human nature, and therefore a human intellect, and with the knowledge possessed by this intellect we are here mainly concerned. The integrity of His human nature implies intellectual cognition by acts of its human intellect. Jesus Christ might be wise by the wisdom of God; yet the humanity of Christ knows by its own mental act. If we except Hugh of St. Victor, all theologians teach that the soul of Christ is elevated to participation in the Divine wisdom by an infusion of Divine light. For the soul of Christ enjoyed from the very beginning the beatific vision; it was endowed with infused knowledge; and it acquired in the course of time experimental knowledge.http://www.newadvent.org/cathen/08675a.htm
Another RC article: http://www.catholicprimer.org/garrigou/works/tp1-25.htm
Did He simultaneously possess human knowledge and divine knowledge?