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

Marcos Gaudiano, Germán Ariel Torres and Cristina Turner

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 80, issue 3, 479-489

Abstract: 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.

Keywords: Free boundary problems; Non-linear diffusion; Convective case; Asymptotic behavior (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2009:i:3:p:479-489

DOI: 10.1016/j.matcom.2008.07.005

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