## Abstract Reaction diffusion systems on cylindrical domains with terms that vary rapidly and periodically in the unbounded direction can be analyzed by averaging techniques. Here, using iterated normal form transformations and Gevrey regularity of bounded solutions, we prove a result on exponenti
Traveling wave solutions for case II diffusion in polymers
β Scribed by Thomas P. Witelski
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Volume
- 34
- Category
- Article
- ISSN
- 0887-6266
No coin nor oath required. For personal study only.
β¦ Synopsis
Case I1 diffusion of penetrant liquids in polymer films is characterized by constant-velocity propagation of a phase interface. We review the development of viscoelastic models describing case I1 diffusion and then present a phase plane analysis for traveling wave solutions.
For simplified, piecewise-constant coefficient models we give closed-form analytic solutions showing the dependence on various physical parameters in both viscous and viscoelastic diffusive systems. We will also compare the results of our analysis with results from numerical simulations of more general models.
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