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On a Quasilinear Parabolic System Modelling the Diffusion of Radioactive Isotopes
Comparini, Elena
Pescatore, Claudio
Ughi, Maura
2007
Abstract
We consider a model for the diffusion of N species
of isotopes of the same element in a medium, consisting in a
parabolic quasilinear system, with Dirichlet boundary condition,
in the general hypothesis that the diffusion coefficients possibly
are all different. We prove existence and uniqueness of classical solution in the physically relevant assumption that the total
concentration of the element is positive and bounded.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
39 (2007)
Subjects
Publisher
EUT Edizioni Università di Trieste
Source
E. Comparini, C. Pescatore, M. Ughi, "On a Quasilinear Parabolic System Modelling the Diffusion of Radioactive Isotopes”, in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 39 (2007), pp. 127-140
Languages
en
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