%0 Journal Article
%T A fast precipitation and dissolution reaction for a reaction diffusion system arising in a porous medium
%+ IFP Energies nouvelles (IFPEN)
%+ Laboratoire d'Etudes des Transferts d'Energie et de Matière (LETEM)
%+ Laboratoire d'Analyse, Topologie, Probabilités (LATP)
%+ Laboratoire de Mathématiques d'Orsay (LM-Orsay)
%A Bouillard, Nicolas
%A Eymard, Robert
%A Henry, Marie
%A Herbin, Raphaele
%A Hilhorst, Danielle
%Z GDR MOMAS
%Z soumis, février 2007
%< avec comité de lecture
%@ 0764-583X
%J ESAIM: Mathematical Modelling and Numerical Analysis
%I EDP Sciences
%V 41
%N 6
%P 975-1000
%8 2007
%D 2007
%R 10.1051/m2an:2007047
%K reaction-diffusion
%K precipitation \sep dissolution
%K kinetics
%K fast reaction
%Z 35K57
%Z Mathematics [math]/Numerical Analysis [math.NA]Journal articles
%X 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.
%G English
%2 https://hal.science/hal-00136237/document
%2 https://hal.science/hal-00136237/file/behhh05fev.pdf
%L hal-00136237
%U https://hal.science/hal-00136237
%~ IFP
%~ LATP
%~ CNRS
%~ UNIV-AMU
%~ UNIV-PSUD
%~ LM-ORSAY
%~ I2M
%~ TDS-MACS
%~ UNIV-PARIS-SACLAY
%~ UNIV-PSUD-SACLAY
%~ GS-MATHEMATIQUES
%~ UNIV-EIFFEL
%~ UPEM-UNIVEIFFEL