In this paper we study the homogenization limits for the steady state of a diffusion problem in a composite medium made up by two different materials: a host material and the inclusion material which is disposed in a periodic array and has a typical length scale $\eps$. On the interface separating the two phases two different sets of non-standard transmission conditions are assigned (thus originating two different systems of partial differential equations). As $\eps$ tends to zero a hierarchy of homogenization problem related to such interface conditions is studied and the physical properties of the various limits are discussed.
Homogenization of composite media with non-standard transmission conditions / Amar, M.; Ayub, A.; Gianni, R.. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 537:2(2024). [10.1016/j.jmaa.2024.128434]
Homogenization of composite media with non-standard transmission conditions
Amar M.;
2024
Abstract
In this paper we study the homogenization limits for the steady state of a diffusion problem in a composite medium made up by two different materials: a host material and the inclusion material which is disposed in a periodic array and has a typical length scale $\eps$. On the interface separating the two phases two different sets of non-standard transmission conditions are assigned (thus originating two different systems of partial differential equations). As $\eps$ tends to zero a hierarchy of homogenization problem related to such interface conditions is studied and the physical properties of the various limits are discussed.File | Dimensione | Formato | |
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