### Homogenization in chemical reactive flows.

Conca, Carlos; Díaz, Jesus Ildefonso; Liñán, Amable; Timofte, Claudia — 2004

Electronic Journal of Differential Equations (EJDE) [electronic only]

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The limit behavior of the solutions of Signorini’s type-like problems in periodically perforated domains with period $\epsilon $ is studied. The main feature of this limit behaviour is the existence of a critical size of the perforations that separates different emerging phenomena as $\epsilon \to 0$. In the critical case, it is shown that Signorini’s problem converges to a problem associated to a new operator which is the sum of a standard homogenized operator and an extra zero order term (“strange term”) coming from the...

The limit behavior of the solutions of Signorini's type-like problems in periodically perforated domains with period is studied. The main feature of this limit behaviour is the existence of a critical size of the perforations that separates different emerging phenomena as ε → 0. In the critical case, it is shown that Signorini's problem converges to a problem associated to a new operator which is the sum of a standard homogenized operator and an extra zero order term (“strange term”) coming from...

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