  In this article, we consider a non-local variant of the Kuramoto-Sivashinsky
equation in three dimensions (2D interface). Besides showing the global
wellposedness of this equation we also obtain some qualitative properties of
the solutions. In particular, we prove that the solutions become analytic in
the spatial variable for positive time, the existence of a compact global
attractor and an upper bound on the number of spatial oscillations of the
solutions. We observe that such a bound is particularly interesting due to the
chaotic behavior of the solutions.
