  The axisymmetric deformation and motion of interacting droplets in an imposed
temperature gradient is considered using boundary-integral techniques for slow
viscous motion. Results showing temporal drop motion, deformations and
separation are presented for equal-viscosity fluids. The focus is on cases when
the drops are of equal radii or when the smaller drop trails behind the larger
drop. For equal-size drops, our analysis shows that the motion of a leading
drop is retarded while the motion of the trailing one is enchanced compared to
the undeformable case. The distance between the centers of equal-sized
deformable drops decreases with time. When a small drop follows a large one,
two patterns of behavior may exist. For moderate or large initial separation
the drops separate. However, if the initial separation is small there is a
transient period in which the separation distance initially decreases and only
afterwards the drops separate. This behavior stems from the multiple time
scales that exist in the system.
