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On a multidimensional model for the codiffusion of isotopes: localization and asymptotic behavior
Author(s) -
Comparini Elena,
Ughi Maura
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3594
Subject(s) - mathematics , partial differential equation , diffusion , hyperbolic partial differential equation , isotope , mathematical analysis , differential equation , qualitative analysis , thermodynamics , physics , qualitative research , social science , quantum mechanics , sociology
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.