Conca, Carlos; Díaz, Jesus Ildefonso; Liñán, Amable; Timofte, Claudia Homogenization in chemical reactive flows. (English) Zbl 1195.35037 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. Cited in 18 Documents 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 PDF BibTeX XML Cite \textit{C. Conca} et al., Electron. J. Differ. Equ. 2004, Paper No. 40, 22 p. (2004; Zbl 1195.35037) Full Text: EMIS OpenURL