Singular perturbation analysis of an integrodifferential equation modelling filament stretching

J. S. Angell; W. E. Olmstead

doi:10.1007/BF00944639

Singular perturbation analysis of an integrodifferential equation modelling filament stretching

J. S. Angell^*, W. E. Olmstead

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

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

14 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 language	English (US)
Pages (from-to)	487-490
Number of pages	4
Journal	ZAMP Zeitschrift für angewandte Mathematik und Physik
Volume	36
Issue number	3
DOIs	https://doi.org/10.1007/BF00944639
State	Published - May 1985

ASJC Scopus subject areas

General Mathematics
General Physics and Astronomy
Applied Mathematics

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10.1007/BF00944639

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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.",

author = "Angell, {J. S.} and Olmstead, {W. E.}",

year = "1985",

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AB - 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.

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Singular perturbation analysis of an integrodifferential equation modelling filament stretching

Abstract

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