  The stability of an exponential current in water to infinitesimal
perturbations in the presence of gravity and capillarity is investigated. Some
new results on the generation of gravity-capillary waves are presented which
supplement the previous works of Morland, Saffman \& Yuen (1991) and Young \&
Wolfe (2014), namely in finite depth. To consider perturbations of much larger
scales, a specific attention is paid to the stability of the exponential
current only in the presence of gravity.
