On a convective condition in the diffusion of a solvent into a polymer with non-constant conductivity coefficient

We studied a one-dimensional free boundary problem arising in the polymer industry. Imposing a convective boundary condition, the solution has an interesting asymptotic behavior. It is found that the free boundary is bounded by a constant which does not depend on the conductivity coefficient, which holds even if the diffusion process is non-linear. Numerical methods are presented to compute the solutions and to compare with the theoretical results.

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Year of publication:	2009
Authors:	Gaudiano, Marcos ; Torres, Germán Ariel ; Turner, Cristina
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 80.2009, 3, p. 479-489
Publisher:	Elsevier
Subject:	Free boundary problems \| Non-linear diffusion \| Convective case \| Asymptotic behavior

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011050440