  We introduce a new concept of dissipative varifold solution to models of two
phase compressible viscous fluids. In contrast with the existing approach based
on the Young measure description, the new formulation is variational combining
the energy and momentum balance in a single inequality. We show the existence
of dissipative varifold solutions for a large class of general viscous fluids
with non--linear dependence of the viscous stress on the symmetric velocity
gradient.
