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Homogenization of a highly rarefied binary structure of finite diffusivity
- Source :
- Applicable Analysis, Applicable Analysis, Taylor & Francis, 2007, 86 (5), pp.633-652. ⟨10.1080/00036810701354979⟩, Applicable Analysis, Taylor & Francis, 2007, 86 (5), pp.633-652. 〈10.1080/00036810701354979〉, Applicable Analysis, 2007, 86 (5), pp.633-652. ⟨10.1080/00036810701354979⟩
- Publication Year :
- 2007
- Publisher :
- HAL CCSD, 2007.
-
Abstract
- International audience; The homogenization of a binary structure made of very small particles of general shape is performed when the diffusivity is finite and when the size of the particles has a critical value with respect to a rarefaction number. The limit problem involves an auxiliary function which can be interpreted as the solution of a problem of cellular type, thus filling the gap with classical methods of multiple scales.
- Subjects :
- Multiple scale method
Homogenization
Applied Mathematics
010102 general mathematics
Mathematical analysis
Binary number
35B27
Auxiliary function
16. Peace & justice
Thermal diffusivity
Critical value
01 natural sciences
Homogenization (chemistry)
010101 applied mathematics
Diffusion
[ MATH.MATH-AP ] Mathematics [math]/Analysis of PDEs [math.AP]
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
Small particles
0101 mathematics
Binary structure
Analysis
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 00036811 and 1563504X
- Database :
- OpenAIRE
- Journal :
- Applicable Analysis, Applicable Analysis, Taylor & Francis, 2007, 86 (5), pp.633-652. ⟨10.1080/00036810701354979⟩, Applicable Analysis, Taylor & Francis, 2007, 86 (5), pp.633-652. 〈10.1080/00036810701354979〉, Applicable Analysis, 2007, 86 (5), pp.633-652. ⟨10.1080/00036810701354979⟩
- Accession number :
- edsair.doi.dedup.....d24e926379cc863e750a4d8d7e2ca73b
- Full Text :
- https://doi.org/10.1080/00036810701354979⟩