Homogenization is a mathematical procedure to understand the multi-scale analysis of various phenomena modelled by partial differential equations (PDEs). It is a relatively new area and has tremendous applications in various branches of engineering sciences like material science, porous media, study of vibrations of thin structures, composite materials to name a few. Indeed, homogenization can be viewed as a process of understanding a heterogeneous media (where the heterogeneities are at the microscopic level like in composite materials) by a homogeneous media. Mathematically, homogenization deals with the study of asymptotic analysis of the solutions of PDEs by obtaining the equation satisfied by the limit. This limit equation will characterize the bulk or overall behaviour of the material, which does not consist of microscopic heterogeneities and can be solved or computed.Topics to be covered in the workshop include the following but not limited to:Multi-scale problems in application...
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