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Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics >
Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.39 (2007) >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4125
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| Title: | On the Limit Behavior in a Free Boundary Model for the Diffusion in a Polymer |
| Authors: | Gaudiano, Marcos
Godoy, Tomas
Turner, Cristina |
| Keywords: | Free Boundary Problems
Diffusion
Convective Coefficient
Asymptotic Behavior |
| Issue Date: | 2007 |
| Publisher: | EUT Edizioni Università di Trieste |
| Citation: | 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. |
| Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
39 (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. |
| URI: | http://hdl.handle.net/10077/4125 |
| ISSN: | 0049-4704 |
| MS Classification: | 35K05
35K60 |
| Appears in Collections: | Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.39 (2007)
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