Monday 16

16 hrs.

Matteo Rizzi (SISSA, Italy)

Clifford Tori and the singularly perturbed Cahn-Hilliard equation

Abstract

17hrs.

Panayotis Smyrnelis (CMM)

Connecting orbits of the system $u”=\nabla W(u)$

We will give necessary and sufficient conditions for the existence of
bounded minimal solutions of the system $u”=\nabla W(u)$. We will also
prove the existence of heteroclinic, homoclinic and periodic orbits in
analogy with the scalar case. Finally, we will mention new kinds of
connecting orbits that may occur in the vector case.