homogénéisation
Homogénéisation is a mathematical technique used to study partial differential equations with rapidly oscillating coefficients. It is particularly useful when the coefficients vary on a small scale, which makes direct numerical simulation computationally infeasible. The core idea is to average out the rapid oscillations to obtain a simpler, effective equation with constant or slowly varying coefficients. This effective equation, known as the homogenized equation, captures the macroscopic behavior of the original system.
The process typically involves analyzing the behavior of solutions to a sequence of problems whose coefficients
Applications of homogénéisation are found in various fields of science and engineering, including material science, fluid