The AsyEOS Collaboration aims at improving the
knowledge of the asymmetry part of the nuclear equation
of state. The purpose of the recent experiment S394, performed
at GSI in May 2011, is to determine the behaviour
of the asymmetry potential at supra-saturation density, using
the ratio of the strengths of the elliptic flow of neutrons
with respect to that of protons in heavy-ion reactions
at relativistic energy. The method, the motivations and the
experimental set-up will be presented, along with the most recent results, which quality is promissing.