Shock Formation in a Multidimensional Viscoelastic Diffusive System
Abstract
We examine a model for non-Fickian “sorption overshoot” behavior in diffusive polymer-penetrant systems. The equations of motion proposed by Cohen and White [SIAM J. Appl. Math., 51 (1991), pp. 472–483] are solved for two-dimensional problems using matched asymptotic expansions. The phenomenon of shock formation predicted by the model is examined and contrasted with similar behavior in classical reaction-diffusion systems. Mass uptake curves produced by the model are examined and shown to compare favorably with experimental observations.
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Published In
SIAM Journal on Applied Mathematics
Pages: 348 - 368
ISSN (online): 1095-712X
Copyright
Copyright © 1995 Society for Industrial and Applied Mathematics.
History
Submitted: 26 June 1993
Accepted: 27 May 1994
Published online: 5 July 2006
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