  The influence of an applied shear on the planar crystal-melt interface is
modelled by a nonlinear stochastic partial differential equation of the
interface fluctuations. A feature of this theory is the asymmetric destruction
of interface fluctuations due to advection of the crystal protrusions on the
liquid side of the interface only. We show that this model is able to
qualitatively reproduce the nonequilibrium coexistence line found in
simulations. The impact of shear on spherical clusters is also addressed.
