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RESEARCH PRODUCT
Homogenization of equations describing materials interacting with clouds of particles
Valeria Riccisubject
homogenized equationsdescription
We shall describe the derivation of homogenized equations (in an asymp- totics of mean-field type) for systems consisting of a cloud of particles dispersed in a material enclosed in a bounded domain. We shall consider in particular the homoge- nization of the Stokes problem leading to the Brinkman force and the homogenization of a model describing the heat exchange between the material and the dispersed phase leading to a (time-dependent) two-temperature equation. In both cases, the homogenized equations can be rigorously derived using similar form for the correctors.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-01-01 |