A nonlinear integral equation associated with gas absorption in a liquid

W. E. Olmstead*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

A recently suggested model for the absorption of gas through a liquid surface gives rise to a nonlinear Volterra integral equation of the form {Mathematical expression} Here φ{symbol}(t) denotes the time-dependent gas concentration at the interface, with normalization such that 0≤φ{symbol}(t)≤1. This investigation establishes the existence and uniqueness of a solution to the integral equation, and determines the asymptotic behavior as t→0,∞.

Original languageEnglish (US)
Pages (from-to)513-523
Number of pages11
JournalZeitschrift für angewandte Mathematik und Physik ZAMP
Volume28
Issue number3
DOIs
StatePublished - May 1 1977

ASJC Scopus subject areas

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

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