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) |
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Pages (from-to) | 513-523 |
Number of pages | 11 |
Journal | Zeitschrift für angewandte Mathematik und Physik ZAMP |
Volume | 28 |
Issue number | 3 |
DOIs | |
State | Published - May 1 1977 |
ASJC Scopus subject areas
- General Mathematics
- General Physics and Astronomy
- Applied Mathematics