Traveling waves for anomalous diffusion in polymers

نویسندگان

  • S. Swaminathan
  • David A. Edwards
چکیده

case II diffusion of a penetrant through a polymer matrix is characterized by constant front speed. Hence, a traveling-wave analysis is appropriate for the model equations. For the previously validated model analyzed here, conditions on the molecular and stress diffusion coefficients are obtained which guarantee the existence of a traveling wave. Conditions are derived under which an interior maximum in the stress develops. An exact solution for the concentration and stress fields is derived for a special case. @ 2004 Elsevier Ltd. All rights reserved. ,Keywords-traveling-wave solutions, Polymer-penetrant systems, Case II diffusion.

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عنوان ژورنال:
  • Appl. Math. Lett.

دوره 17  شماره 

صفحات  -

تاریخ انتشار 2004