A nonlinear integral equation associated with gas absorption in a liquid

W. E. Olmstead

doi:10.1007/BF01601630

A nonlinear integral equation associated with gas absorption in a liquid

W. E. Olmstead^*

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

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

15 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 language	English (US)
Pages (from-to)	513-523
Number of pages	11
Journal	Zeitschrift für angewandte Mathematik und Physik ZAMP
Volume	28
Issue number	3
DOIs	https://doi.org/10.1007/BF01601630
State	Published - May 1 1977

ASJC Scopus subject areas

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

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10.1007/BF01601630

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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,∞.",

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AB - 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,∞.

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A nonlinear integral equation associated with gas absorption in a liquid

Abstract

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