Homogenization Results for Enzymatic Dispersion Processes | Zendy

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Homogenization Results for Enzymatic Dispersion Processes

Author(s) -

Timofte Claudia

Publication year - 2006

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.200610238

Subject(s) - homogenization (climate) , monotonic function , boundary value problem , nonlinear system , mathematics , chemistry , mathematical analysis , physics , biodiversity , ecology , quantum mechanics , biology

The aim of this paper is to study the asymptotic behavior of the solution of a nonlinear problem arising in the modelling of enzyme catalyzed reactions through perforated media. The effective behavior of the solution of such a problem is governed by a new elliptic boundary‐value problem that captures the effect of the enzymatic reactions. The approach we use is the energy method of L. Tartar [4], coupled with monotonicity methods and results from the theory of semilinear problems [2]. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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