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Transactions of the American Mathematical Society
Abstract
Abstract. A linear system of differential equations describing a joint motion of a thermoelastic porous body with a sufficiently large Lamé’s constants (absolutelty rigid body) and a thermofluid, occupying porous space, is considered. The rigorous justification, under various conditions imposed on physical parameters, is fulfilled for homogenization procedures as the dimensionless size of the pores tends to zero, while the porous body is geometrically periodic. As the results we derive Darcy’s system of filtration for thermofluid, depending on ratios between physical parameters. The proofs are based on Nguetseng’s two-scale convergence method of homogenization in periodic structures. Key words: Anisothermic Stokes and Lamé’s equations, two-scale convergence, homogenization of periodic structures.
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Cited by
Smooth Pycnophylactic Interpolation for Geographical Regions
Tobler, W. R. (1979) · Journal of the American Statistical Association · doi:10.1080/01621459.1979.10481647 · Cited by 678
Dunn, J. M. (1991) · Lecture Notes in Computer Science · doi:10.1007/bfb0018431 · Cited by 123
Zimmerman, B. J., Abraham, I., Schmidt, S. A., Baryshnikov, Y., & Husain, F. T. (2019) · Network Neuroscience · doi:10.1162/netn_a_00053 · Cited by 35
Metadata
- Venue
- Transactions of the American Mathematical Society
- Publisher
- American Mathematical Society (AMS)
- Published
- 2026-03-16
- ISSN
- 0002-9947 (ISSN-L)
- 1088-6850
- DOI
- 10.1090/tran
- OpenAlex
- W2326953769
- Cited by
- 1,768
- References
- 0
- Type
- paratext
- Language
- en
- Open access
- closed
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