  Mean-field frozen percolation is a random graph-valued process, which adjusts
the dynamics of the classical Erdos-Renyi process with an additional mechanism
to 'freeze' potential giant components before they can form. It is known to
exhibit self-organised criticality from a wide class of initial graphs. We show
that a family of inhomogeneous random graphs with finitely-many types form a
stable class under these dynamics. We study how the survival of a vertex
depends on its initial type, and establish a hydrodynamic limit for the process
recording surviving vertices of each type, in terms of multitype branching
processes which approximate the graphs. The parameters of these branching
processes are eventually critical, and their evolution in time is described by
solutions to an unusual class of differential equations driven by
Perron-Frobenius eigenvectors.
