Theory and numerical simulations are used to investigate the nonlinear
evolution of vortices generated by the Kelvin-Helmholtz (KH) instabil
ity of sheared plasma hows in the Earth's magnetosphere. The extent of
broadening of the shear flow, and the energy and enstrophy exchange b
etween the shear how and KH vortices, is characterized. A new stationa
ry vortex street solution is found, and two distinct phases of the non
linear dynamics are identified. The first involves a transient phase i
n which burst-like pulsations of the flow lead to a rapid dissipation
of enstrophy. After the transient phase, an asymptotic state is reache
d that corresponds to a periodic chain of pairs of monopolar vortices.
The consequences of the model results for the dynamics of field line
resonances (FLRs) in the Earth's magnetosphere are discussed, and it i
s shown, in particular, that broadening of the Row correlates well wit
h observations of periodic reforming of FLR structures. (C) 1997 Ameri
can Institute of Physics.