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On a multidimensional model for the codiffusion of isotopes: localization and asymptotic behavior
Authors:Elena Comparini  Maura Ughi
Affiliation:1. Dipartimento di Matematica e Informatica ‘Ulisse Dini’, Università di Firenze, Firenze, Italy;2. Dipartimento di Matematica e Geoscienze, Università di Trieste, Trieste, Italy
Abstract:The paper deals with a system of parabolic–hyperbolic partial differential equations, which models the diffusion of N species of isotopes of the same element, possibly radioactive, in a multidimensional medium. Some qualitative properties of the solutions, such as localization property, are studied together with the asymptotic behavior for large times. Copyright © 2015 John Wiley & Sons, Ltd.
Keywords:isotopes  diffusion  parabolic–  hyperbolic systems
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