The behaviour of the Johnson-Segalman fluid in a Couette geometry is i
nvestigated with a combination of numerical, analytical and simulation
techniques. The results strongly suggest that there exists a selectio
n mechanism for the position of the interface of discontinuity due to
the constitutive instability typical of models with non-monotonic cons
titutive equations. This implies that the spurt phenomenon exhibits a
jump discontinuity instead of a change of slope in the flow curve.