Publication 15-CNA-018

Polynomial Decay to Equilibrium for the Becker-Döring Equations

Ryan Murray
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA, USA
rwmurray@andrew.cmu.edu

Robert L. Pego
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
rpego@andrew.cmu.edu

Abstract: 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

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