Asymptotic Analysis of Periodic Structures
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This article is published in Journal of Applied Mechanics.The article was published on 1979-06-01 and is currently open access. It has received 5038 citations till now. The article focuses on the topics: Asymptotic analysis.read more
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Parameter Estimation for Multiscale Diffusions
TL;DR: In this paper, the problem of parameter estimation for time series possessing two, widely separated, characteristic time scales was studied and it was shown that if the data is sampled too finely then the parameter fit will fail, in that the correct parameters in the homogenized model are not identified.
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Homogenization of Differential Operators
TL;DR: In this paper, the homogenized operator for a general sequence of linear parabolic operators is constructed for a given sequence of differential operators, and a method of constructing the homogeneized operator is presented.
Journal ArticleDOI
Propagation and localization of elastic waves in highly anisotropic periodic composites via two-scale homogenization
TL;DR: In this paper, the authors consider the problem of wave propagation in highly anisotropic elastic composites and derive two-scale limiting elastodynamic equations for their band-gap structure.
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Periodic Homogenization of Green and Neumann Functions
TL;DR: For a family of second-order elliptic operators with rapidly oscillating periodic coefficients, this paper obtained asymptotic expansions of Poisson kernels and the Dirichlet-to-Neumann maps.
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Macroscopic modelling of heat transfer in composites with interfacial thermal barrier
Jean-Louis Auriault,Horia I. Ene +1 more
TL;DR: In this article, a model for heat transfer in composites in the presence of interfacial thermal resistance is determined from a description at the heterogeneity scale using a method of double-scale asymptotic developments.
References
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An Introduction To Probability Theory And Its Applications
TL;DR: A First Course in Probability (8th ed.) by S. Ross is a lively text that covers the basic ideas of probability theory including those needed in statistics.
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Théorie des distributions
TL;DR: The merite as discussed by the authors is a date marque une date dans le progres des mathematiques and de la physique en levant l'ambiguite que constituait le succes des methodes de calcul symbolique aupres des physiciens and l'inacceptabilite de leurs formules au regard de la rigueur mathematiques.