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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The Heterogeneous Multiscale Method: A Review
TL;DR: In this article, the authors give a systematic introduction to HMM, the heterogeneous multiscale method, including the fundamental design principles behind the HMM philosophy and the main obstacles that have to be overcome when using HMM for a particular problem.
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Model-based design of transverse wall oscillations for turbulent drag reduction
TL;DR: In this article, the Boussinesq eddy viscosity hypothesis is used to quantify the effect of fluctuations on the mean velocity in flow subject to control, and the resulting correction to the turbulent mean velocity induced by small-amplitude wall movements is then used to identify the optimal frequency of drag-reducing oscillations.
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Strain gradient and generalized continua obtained by homogenizing frame lattices
TL;DR: In this paper, the effective behavior of periodic structures made of welded elastic bars is analyzed and different types of effective energies are obtained by taking into account the fact that flexural and torsional stiffnesses are much smaller than the extensional one.
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Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators
TL;DR: In this paper, the authors considered divergence form elliptic operators L = − div A(x)∇, defined in the half space Rn+1 +, n ≥ 2, where the coefficient matrix A (x) is bounded, measurable, uniformly elliptic, t-independent, and not necessarily symmetric.
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G-convergence of monotone operators
TL;DR: In this article, a general notion of G-convergence for sequences of maximal monotone operators of the form h → + ∞, of the solutions u h to the equations and of their momenta a h (x, D u h ).
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.