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

@inproceedings{Bouillard2017AFP,
  title={A fast precipitation and dissolution reaction for a reaction diffusion system arising in a porous medium ⋆},
  author={Nicolas Bouillard and Robert Eymard and Marie Henry and Rapha{\`e}le Herbin and Danielle Hilhorst},
  year={2017}
}
This paper is devoted to the study of a fast reaction diffusion system arising in reactive transport. It extends the articles [8,10] since a precipitation and dissolution reaction is considered so that the reaction term is not sign-definite and is moreover discontinuous. 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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