Singular perturbation analysis of an integrodifferential equation modelling filament stretching

J. S. Angell*, W Edward Olmstead

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

A formal asymptotic scheme is used to determine the leading order behavior of a certain singularly perturbed integrodifferential equation which models the process of stretching a polymer filament. The inner solution describes the process during a boundary layer in time which occurs at the onset of elastic recovery. The outer solution describes the long term behavior of the elastic recovery, and a bound on the ultimate recovery is determined.

Original languageEnglish (US)
Pages (from-to)487-490
Number of pages4
JournalZAMP Zeitschrift für angewandte Mathematik und Physik
Volume36
Issue number3
DOIs
StatePublished - May 1 1985

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

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