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Algebraic Decay to Equilibrium for the Becker--Döring Equations

Published: 01 January 2016 Publication History

Abstract

This paper studies rates of decay to equilibrium for the Becker--Döring 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 $\ell^1$ spaces, operator decomposition techniques from kinetic theory, and interpolation estimates from the study of traveling waves.

References

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      cover image SIAM Journal on Mathematical Analysis
      SIAM Journal on Mathematical Analysis  Volume 48, Issue 4
      DOI:10.1137/sjmaah.48.4
      Issue’s Table of Contents

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      Society for Industrial and Applied Mathematics

      United States

      Publication History

      Published: 01 January 2016

      Author Tags

      1. coagulation-fragmentation equations
      2. rate of decay to equilibrium
      3. interpolation inequalities

      Author Tags

      1. Primary
      2. 34A35
      3. 34D05; Secondary
      4. 47D06
      5. 82C05

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