Effective Chemical Processes in Porous Media-Reference-Cited by-同舟云学术

Effective Chemical Processes in Porous Media

Published:2003-10 Issue:10 Volume:13 Page:1437-1462
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

Conca C.¹,Díaz J. I.²,Timofte C.³

Affiliation:

1. Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático, UMR 2071 CNRS-UChile, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 170/3, Santiago, Chile

2. Departamento de Matemática Aplicada, Facultad de Matemáticas, Universidad Complutense, 28040 Madrid, Spain

3. Department of Mathematics, Faculty of Physics, University of Bucharest, P. O. Box MG-11, Bucharest-Magurele, Romania

Abstract

In the book by Hornung, Chap. 6, the author proposes a homogenization strategy for the effective behavior of some chemical processes involving adsorption and reactions arising in porous media. Rigorous proofs of the convergence results are given in the case of linear adsorption rates and linear chemical reactions. The author leaves as an open question the case of a nonlinear adsorption rate. Our goal in this paper is to study two well-known examples of such nonlinear models, namely the so-called Freundlich and Langmuir kinetics.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202503002982

Reference18 articles.

1. Nonlinear semigroups and differential equations in Banach spaces

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