  We prove global in time existence of solutions of the Euler compressible
equations for a Van der Waals gas when the density is small enough in $\H{m}$,
for $m$ large enough. To do so, we introduce a specific symmetrisation allowing
areas of null density. Next, we make estimates in $\H{m}$, using for some terms
the estimates done by M. Grassin, who proved the same theorem in the easier
case of a perfect polytropic gas. We treat the remaining terms separately, due
to their non-linearity.
