A generalized hydrodynamic (GHD) model depicting the behaviour of
visco-elastic fluids has often been invoked to explore the behaviour of a
strongly coupled dusty plasma medium below their crystallization limit. The
model has been successful in describing the collective normal modes of the
strongly coupled dusty plasma medium observed experimentally. The paper focuses
on the study of nonlinear dynamical characteristic features of this model.
Specifically, the evolution of coherent vorticity patches are being
investigated here within the framework of this model. A comparison with
Newtonian fluids and Molecular Dynamics (MD) simulations treating the dust
species interacting through the Yukawa potential has also been presented