On the rate of convergence to equilibrium in the Becker-Döring equations

Pierre Emmanuel Jabin, Barbara Niethammer

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

We provide an explicit rate of convergence to equilibrium for solutions of the Becker-Döring equations using the energy/energy-dissipation relation. The main difficulty is the structure of equilibria of the Becker-Döring equations, which do not correspond to a Gaussian measure, such that a logarithmic Sobolev-inequality is not available. We prove a weaker inequality which still implies for fast decaying data that the solution converges to equilibrium as e-ct1/3.

Original languageEnglish (US)
Pages (from-to)518-543
Number of pages26
JournalJournal of Differential Equations
Volume191
Issue number2
DOIs
StatePublished - Jul 1 2003

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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