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Article Dans Une Revue ESAIM: Mathematical Modelling and Numerical Analysis Année : 2007

A fast precipitation and dissolution reaction for a reaction diffusion system arising in a porous medium

Résumé

This paper is devoted to the study of a fast reaction diffusion system arising in reactive transport. It extends previous articles since a precipitation and dissolution reaction is considered so that the reaction term is not sign-definite and is moreover discontinuous. %Therefore the reaction term is discontinuous and of unknown sign. %Monotonicity methods allow to prove uniform estimates and then to Energy type methods allow us to prove uniform estimates and then to study the limiting behavior of the solution as the kinetic rate tends to infinity in the special situation of one aqueous species and one solid species.
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Dates et versions

hal-00136237 , version 1 (13-03-2007)

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Nicolas Bouillard, Robert Eymard, Marie Henry, Raphaele Herbin, Danielle Hilhorst. A fast precipitation and dissolution reaction for a reaction diffusion system arising in a porous medium. ESAIM: Mathematical Modelling and Numerical Analysis, 2007, 41 (6), pp.975-1000. ⟨10.1051/m2an:2007047⟩. ⟨hal-00136237⟩
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