Singular limit analysis of a reaction-diffusion system with precipitation and dissolution in a porous medium | Zendy

Danielle Hilhorst | Zendy; Hideki Murakawa | Zendy

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Singular limit analysis of a reaction-diffusion system with precipitation and dissolution in a porous medium

Author(s) -

Danielle Hilhorst,

Hideki Murakawa

Publication year - 2014

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2014.9.669

Subject(s) - dissolution , limit (mathematics) , reaction–diffusion system , diffusion , porous medium , thermodynamics , precipitation , porosity , reaction rate , rate of convergence , materials science , mathematics , mathematical analysis , physics , chemistry , computer science , computer network , biochemistry , channel (broadcasting) , meteorology , composite material , catalysis

In this paper we consider a three-component reaction-diffusion system with a fast precipitation and dissolution reaction term. We investigate its singular limit as the reaction rate tends to infinity. The limit problem is described by a combination of a Stefan problem and a linear heat equation. The rate of convergence with respect to the reaction rate is established in a specific case.

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