Center for                           Nonlinear Analysis CNA Home People Seminars Publications Workshops and Conferences CNA Working Groups CNA Comments Form Summer Schools Summer Undergraduate Institute PIRE Cooperation Graduate Topics Courses SIAM Chapter Seminar Positions Contact Publication 15-CNA-018 Polynomial Decay to Equilibrium for the Becker-Döring Equations Ryan MurrayDepartment of Mathematical Sciences Carnegie Mellon University Pittsburgh, PA, USA rwmurray@andrew.cmu.edu Robert L. PegoDepartment of Mathematical Sciences Carnegie Mellon University Pittsburgh, PA 15213rpego@andrew.cmu.eduAbstract: 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 $\ell^1$ spaces, operator decomposition techniques from kinetic theory, and interpolation estimates from the study of travelling waves.Get the paper in its entirety as  15-CNA-018.pdf