  The survival probability of a particle diffusing in the two dimensional
domain $x>0$ near a ``windy cliff'' at $x=0$ is investigated. The particle dies
upon reaching the edge of the cliff. In addition to diffusion, the particle is
influenced by a steady ``wind shear'' with velocity $\vec v(x,y)=v\,{\rm
sign}(y)\,\hat x$, \ie, no average bias either toward or away from the cliff.
For this semi-infinite system, the particle survival probability decays with
time as $t^{-1/4}$, compared to $t^{-1/2}$ in the absence of wind. Scaling
descriptions are developed to elucidate this behavior, as well as the survival
probability within a semi-infinite strip of finite width $|y|<w$ with particle
absorption at $x=0$. The behavior in the strip geometry can be described in
terms of Taylor diffusion, an approach which accounts for the crossover to the
$t^{-1/4}$ decay when the width of the strip diverges. Supporting numerical
simulations of our analytical results are presented.
