Electron. J. Diff. Eqns., Vol. 2004(2004), No. 40, pp. 1-22.

Homogenization in chemical reactive flows

Carlos Conca, Jesus Ildefonso Diaz, Amable Linan, & Claudia Timofte

This paper concerns the homogenization of two nonlinear models for chemical reactive flows through the exterior of a domain containing periodically distributed reactive solid grains (or reactive obstacles). In the first model, the chemical reactions take place on the walls of the grains, while in the second one the fluid penetrates the grains and the reactions take place therein. The effective behavior of these reactive flows is described by a new elliptic boundary-value problem containing an extra zero-order term which captures the effect of the chemical reactions.

Submitted April 3, 2003. Published March 22, 2004.
Math Subject Classifications: 47A15, 46A32, 47D20.
Key Words: Homogenization, reactive flows, variational inequality, monotone graph.

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Carlos Conca
Departamento de Ingenieria Matematica
and Centro de Modelamiento Matematico, UMR 2071 CNRS-U Chile
Facultad de Ciencias Fisicas y Matematicas
Universidad de Chile, Casilla 170/3, Santiago, Chile
email: cconca@dim.uchile.cl
Jesus Ildefonso Diaz
Departamento de Matematica Aplicada
Facultad de Matematicas
Universidad Complutense, 28040 Madrid, Spain
email: ildefonso_diaz@mat.ucm.es
Amable Linan
Escuela T. S. de Ingenieros Aeronauticos
Universidad Politecnica de Madrid, Madrid, Spain
email: linan@tupi.dmt.upm.es
Claudia Timofte
Department of Mathematics, Faculty of Physics
University of Bucharest
P.O. Box MG-11, Bucharest-Magurele, Romania
email: claudiatimofte@hotmail.com

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