You are not currently logged in.
Access JSTOR through your library or other institution:
An Unusual Moving Boundary Condition Arising in Anomalous Diffusion Problems
D. A. Edwards and D. S. Cohen
SIAM Journal on Applied Mathematics
Vol. 55, No. 3 (Jun., 1995), pp. 662-676
Published by: Society for Industrial and Applied Mathematics
Stable URL: http://www.jstor.org/stable/2102541
Page Count: 15
You can always find the topics here!Topics: Polymers, Mathematical problems, Boundary conditions, Glass, Mathematical constants, Mathematics, Materials, Materials science, Diffusion coefficient, Mathematical independent variables
Were these topics helpful?See something inaccurate? Let us know!
Select the topics that are inaccurate.
Preview not available
In the context of analyzing a new model for nonlinear diffusion in polymers, an unusual condition appears at the moving interface between the glassy and rubbery phases of the polymer. This condition, which arises from the inclusion of a viscoelastic memory term in our equations, has received very little attention in the mathematical literature. Due to the unusual form of the moving-boundary condition, further study is needed as to the existence and uniqueness of solutions satisfying such a condition. The moving boundary condition which results is not solvable by similarity solutions, but can be solved by integral equation techniques. A solution process is outlined to illustrate the unusual nature of the condition; the profiles which result are characteristic of a dissolving polymer.
SIAM Journal on Applied Mathematics © 1995 Society for Industrial and Applied Mathematics