Algebraic decay to equilibrium for the becker-döring equa tions

Ryan W. Murray; Robert L. Pego

doi:10.1137/15M1038578

Algebraic decay to equilibrium for the becker-döring equa tions

Ryan W. Murray, Robert L. Pego

Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

This paper studies rates of decay to equilibrium for the Becker-Doring equations with subcritical initial data. In particular, algebraic 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 traveling waves.

Original language	English (US)
Pages (from-to)	2819-2842
Number of pages	24
Journal	SIAM Journal on Mathematical Analysis
Volume	48
Issue number	4
DOIs	https://doi.org/10.1137/15M1038578
State	Published - 2016

All Science Journal Classification (ASJC) codes

Analysis
Computational Mathematics
Applied Mathematics

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title = "Algebraic decay to equilibrium for the becker-d{\"o}ring equa tions",

abstract = "This paper studies rates of decay to equilibrium for the Becker-Doring equations with subcritical initial data. In particular, algebraic 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 traveling waves.",

author = "Murray, {Ryan W.} and Pego, {Robert L.}",

note = "Funding Information: The research of the authors was supported by the National Science Foundation under grants DMS 1211161 and DMS 1515400 and by the Center for Nonlinear Analysis (CNA) under National Science Foundation PIRE grant OISE-0967140. The second author was also supported by F.C.T. (Portugal) grant UTA CMU/MAT/0007/2009. Publisher Copyright: {\textcopyright} 2016 Societ y for Industrial and Applied Mathematics.",

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AU - Murray, Ryan W.

AU - Pego, Robert L.

N1 - Funding Information: The research of the authors was supported by the National Science Foundation under grants DMS 1211161 and DMS 1515400 and by the Center for Nonlinear Analysis (CNA) under National Science Foundation PIRE grant OISE-0967140. The second author was also supported by F.C.T. (Portugal) grant UTA CMU/MAT/0007/2009. Publisher Copyright: © 2016 Societ y for Industrial and Applied Mathematics.

PY - 2016

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N2 - This paper studies rates of decay to equilibrium for the Becker-Doring equations with subcritical initial data. In particular, algebraic 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 traveling waves.

AB - This paper studies rates of decay to equilibrium for the Becker-Doring equations with subcritical initial data. In particular, algebraic 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 traveling waves.

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JF - SIAM Journal on Mathematical Analysis

IS - 4

ER -

Algebraic decay to equilibrium for the becker-döring equa tions

Abstract

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