2015/09/06 by Ryan Murray, Ryan W. Murray, Murray, Ryan W. +2
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Partial Differential Equations #math-ph #math.AP #math.MP
paper · pdf · doi:10.48550/arxiv.1509.01762
arxiv created 2015/09/06 · openalex publication_date 2015/09/06 · arxiv updated 2015/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 ℓ1 spaces, operator decomposition techniques from kinetic theory, and interpolation estimates from the study of travelling waves.