  We investigate the role of pressure in a class of generalised Skyrme models.
We introduce pressure as the trace of the spatial part of the energy-momentum
tensor and show that it obeys the usual thermodynamical relation. Then, we
compute analytically the mean-field equation of state in the high and medium
pressure regimes by applying topological bounds on compact domains. The
equation of state is further investigated numerically for the charge one
skyrmions. We identify which term in a generalised Skyrme model is responsible
for which part in the equation of state. Further, we compare our findings with
the corresponding results in the Walecka model.
