Shock formation in a multidimensional viscoelastic diffusive system
Publication
, Journal Article
Cohen, DS; White, AB; Witelski, TP
Published in: SIAM Journal on Applied Mathematics
January 1, 1995
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.
Duke Scholars
Published In
SIAM Journal on Applied Mathematics
DOI
ISSN
0036-1399
Publication Date
January 1, 1995
Volume
55
Issue
2
Start / End Page
348 / 368
Related Subject Headings
- Applied Mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Cohen, D. S., White, A. B., & Witelski, T. P. (1995). Shock formation in a multidimensional viscoelastic diffusive system. SIAM Journal on Applied Mathematics, 55(2), 348–368. https://doi.org/10.1137/S0036139993269333
Cohen, D. S., A. B. White, and T. P. Witelski. “Shock formation in a multidimensional viscoelastic diffusive system.” SIAM Journal on Applied Mathematics 55, no. 2 (January 1, 1995): 348–68. https://doi.org/10.1137/S0036139993269333.
Cohen DS, White AB, Witelski TP. Shock formation in a multidimensional viscoelastic diffusive system. SIAM Journal on Applied Mathematics. 1995 Jan 1;55(2):348–68.
Cohen, D. S., et al. “Shock formation in a multidimensional viscoelastic diffusive system.” SIAM Journal on Applied Mathematics, vol. 55, no. 2, Jan. 1995, pp. 348–68. Scopus, doi:10.1137/S0036139993269333.
Cohen DS, White AB, Witelski TP. Shock formation in a multidimensional viscoelastic diffusive system. SIAM Journal on Applied Mathematics. 1995 Jan 1;55(2):348–368.
Published In
SIAM Journal on Applied Mathematics
DOI
ISSN
0036-1399
Publication Date
January 1, 1995
Volume
55
Issue
2
Start / End Page
348 / 368
Related Subject Headings
- Applied Mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics