Department of Mathematics, SRM University-AP, Andhra Pradesh presents departmental seminar on “Introduction to Homogenization Problem and Tartar’s Method”. During the session on February 17, 2021, at 5.30 PM, Dr Ravi Prakash, Assistant Professor, Departamento de Matem ́atica, Universidad de Concepci ́on, Concepci ́on, Chile, will describe this mathematical theory that has been introduced to explicate the behaviour of composite materials used by the material scientists. He will illustrate this model by drawing example of a homogenized material.
The aim of ’Homogenization’ is precisely to give the macroscopic properties of the composite by taking into account the properties of its structure. For a good understanding of this area, one must have a definite knowledge of Distribution Theory, Functional Analysis, Measure Theory, and Differential Equations.
The theory of Homogenization has reaching applications in several areas (including composite materials) such as porous media, analysis of their structures, etc. During the session, the esteemed guest lecturer will enable the audience to comprehend how Tartar’s Method uses two scales for the characterization of the material – the microscopic one, describing the heterogeneities, and the macroscopic one, describing the global behavior of the composite.