Exploiting a mapping between transport theory and fluid dynamics, we show how
a fluid-dynamic description of the diffusion of charm quarks in the QCD plasma
is feasible. We show results for spectra of charmed hadrons obtained with a
fluid-dynamic description of the quark-gluon plasma (QGP) coupled with the
conservation of a heavy-quark - antiquark current. We compare our calculations
with the most recent experimental data in order to provide further constraints
on the transport coefficients of the QGP.Comment: Hard Probes 202