The emergence of large-scale coherent structure under small-scale random bombardments

Andrew Majda, Xiaoming Wang

Research output: Contribution to journalReview articlepeer-review

Abstract

We provide mathematical justification of the emergence of large-scale coherent structure in a two-dimensional fluid system under small-scale random bombardments with small forcing and appropriate scaling assumptions. The analysis shows that the large-scale structure emerging out of the small-scale random forcing is not the one predicted by equilibrium statistical mechanics. But the error is very small, which explains earlier successful prediction of the large-scale structure based on equilibrium statistical mechanics.

Original languageEnglish (US)
Pages (from-to)467-500
Number of pages34
JournalCommunications on Pure and Applied Mathematics
Volume59
Issue number4
DOIs
StatePublished - Apr 2006

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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