We present results from the first three-dimensional numerical simulations o
f moderately supersonic cloud motion through a tenuous, magnetized medium.
We show that the interaction of the cloud with a magnetic field perpendicul
ar to its motion has a great dynamical impact on the development of instabi
lities at the cloud surface. Even for initially spherical clouds, magnetic
field lines become trapped in surface deformations and undergo stretching.
The consequent field amplification that occurs there and, in particular, it
s variation across the cloud face then dramatically enhance the growth rate
of Rayleigh-Taylor unstable modes, hastening the cloud disruption.