Polynomial Decay to Equilibrium for the Becker-Döring Equations (15-CNA-018)

This paper studies rates of decay to equilibrium for the Becker-Döring equations with subcritical initial data. In particular, polynomial rates of decay are established when initial perturbations of equilibrium have polynomial moments. This is proved by using new dissipation estimates in polynomially weighted ℓ¹spaces, operator decomposition techniques from kinetic theory, and interpolation estimates from the study of travelling waves.