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ON A MODEL FOR THE PROPAGATION OF ISOTOPIC DISEQUILIBRIUM BY DIFFUSION

E. COMPARINI

Dip. di Matematica "U. Dini", Università di Firenze, V. le Morgagni 67/A, I-50134 Firenze, Italy

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R. DAL PASSO

Dipartimento di Matematica, Università Roma Tor Vergata, V. Politecnico 1, I-00133 Roma, Italy

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C. PESCATORE

OECD/Nuclear Energy Agency I12 Blvd des Iles, F-92130 Issy-les-Moulineaux, France

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, and

M. UGHI

Dip. di Matematica e Informatica, Università di Trieste, V. Valerio 12/b, I-34127 Trieste, Italy

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https://doi.org/10.1142/S0218202509003784Cited by:3 (Source: Crossref)

Abstract

We consider a model for the distribution of radionuclides in the ground water around a deep repository for used nuclear fuel, based on the assumption that different isotopes of the same chemical element A contribute jointly to the chemical potential of A. In this hypothesis, the total flux J_i of a particular isotope A_i of an element A has two components, one due to the interaction of A_i with the solvent molecules B, the other with the kin isotopes. We study some qualitative properties of the solution in the physically relevant assumption that the first of these components is negligible. In this assumption the problem reduces to a parabolic equation for the total concentration of the element A, possibly coupled with hyperbolic equations for the concentrations of the single isotopes.

This work is dedicated to one of the authors, our dear friend Roberta Dal Passo, who died a few months ago.

Keywords:

AMSC: 35L50, 35K57, 35B05

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