Asymptotic homogenization is a mathematical technique used to analyze heterogeneous media – that is, materials with varying properties at different scales. This approach is particularly useful in the study of partial differential equations (PDEs) that describe phenomena in materials with complex microstructures. The primary objective of asymptotic homogenization is to derive effective (or homogenized) equations that can describe the macroscopic behavior of such materials by averaging out the microscopic variations.
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