  The statistical properties of a large number of weakly nonlinear waves can be
described in the framework of the Weak Turbulence Theory. The theory is based
on the hypothesis of an asymptotically large system. In experiments, the
systems have a finite size and the predictions of the theory may not apply
because of the presence of discrete modes rather than a continuum of free
waves. Our study focusses on the case of waves at the surface of water at
scales close to the gravity-capillarity crossover (of order 1~cm). Wave
turbulence has peculiar properties in this regime because 1D resonant
interactions can occur as shown by Aubourg \& Mordant. Here we investigate the
influence of the confinement on the properties of wave turbulence by reducing
gradually the size of our wave tank along one of its axis, the size in the
other direction being unchanged. We use space-time resolved profilometry to
reconstruct the deformed surface of water. We observe an original regime of
coexistence of weak wave turbulence along the length of the vessel and discrete
turbulence in the confined direction.

Fluid Dynamics