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Publications [#244192] of Thomas P. Witelski
search www.ams.org.Papers Published
- Cohen, DS; White, AB; Witelski, TP, Shock formation in a multidimensional viscoelastic diffusive system,
Siam Journal on Applied Mathematics, vol. 55 no. 2
(January, 1995),
pp. 348-368, Society for Industrial & Applied Mathematics (SIAM) [gz], [doi]
(last updated on 2024/03/18)
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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