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On the Limit Behavior in a Free Boundary Model for the Diffusion in a Polymer
Gaudiano, Marcos
Godoy, Tomas
Turner, Cristina
2007
Abstract
Free boundary problems arise modelling the sorption of
solvents into glassy polymers. There are physical reasons to expect that a convective condition with coefficient h, behaves asymptotically as a Dirichlet condition. In this work we prove, analyzing the uniform convergence the equivalence of these problems.
A condition is also derived that allows one to decide whether a
specific application lies within the asymptotic regime.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
39 (2007)
Publisher
EUT Edizioni Università di Trieste
Source
M. Gaudiano, T. Godoy and C. Turner, "On the Limit Behavior in a Free Boundary Model for the Diffusion in a Polymer”, in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 39 (2007), pp. 445–455.
Languages
en
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