Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: Gérard Zongo, Ousséni So, Geneviève Barro and Blaise Somé
Pages: [53] - [105]
Received Date: July 16, 2019; August 27, 2019
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100122081
We study homogenization and two-scale convergence. Homogenization is a mathematical concept that makes it possible to develop a global model of the behaviour of a physical structure evolving in a heterogeneous structure. The behaviour of this physical structure will therefore be studied in a homogeneous environment, which greatly facilitates calculations. The two-scale convergence method was introduced by Nguetseng and later developed by Allaire. It is a particular form of weak convergence, a convergence between weak convergence and strong convergence. The two-scale convergence simplifies the proof of homogenization theory. The method evolved very quickly and has been extended to several cases depending on the functional space.
two-scale convergence, multiscale convergence, weak convergence, strong convergence, homogenization.
