Homogenization in chemical reactive flows. (English) Zbl 1195.35037

Conca, Carlos; Díaz, Jesus Ildefonso; Liñán, Amable; Timofte, Claudia

Electron. J. Differ. Equ. 2004, Paper No. 40, 22 p. (2004).

Summary: 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.

MSC:

35B27	Homogenization in context of PDEs; PDEs in media with periodic structure
35Q35	PDEs in connection with fluid mechanics
76M50	Homogenization applied to problems in fluid mechanics
76V05	Reaction effects in flows
80A32	Chemically reacting flows
35J25	Boundary value problems for second-order elliptic equations
35J86	Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators

Keywords:

exterior domain; monotone graph; reactive obstacles