On the asymptotic limit of the effectiveness of reaction-diffusion equations in periodically structured media
The authors study the homogenization limit (as \(\varepsilon\to 0\)) of the solution to the boundary value problem for the \(p\)-Laplace operator posed in an \(\varepsilon\)-periodically structured domain with a nonlinear Robin-type condition specified on the boundary of the periodic subdomains. The objective of this paper is twofold: (1) the investigation of the homogenization of solutions in the case of a continuous nonlinear reaction term on the boundary of the periodic structure; (2) the study of the homogenization of the effectiveness factor -- a key matter in reactor (chemical) engineering.
scientific article; zbMATH DE number 6759289
scientific article