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Thermodynamically Constrained Averaging Theory: Why Bother? [PDF]
ARC Geophysical ResearchPorous medium researchers and practitioners usually rely on macroscale models to represent systems of concern. While macroscale models have often been formulated phenomenologically, the thermodynamically constrained averaging theory (TCAT) provides a means to rigorously derive closed macroscale models for a wide variety of systems.
Timothy M. Weigand +2 more
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Thermodynamically Constrained Averaging Theory: Principles, Model Hierarchies, and Deviation Kinetic Energy Extensions. [PDF]
Entropy (Basel), 2018 The thermodynamically constrained averaging theory (TCAT) is a comprehensive theory used to formulate hierarchies of multiphase, multiscale models that are closed based upon the second law of thermodynamics.
Miller CT, Gray WG, Kees CE.
europepmc +2 more sources
Sovereign Risk Indices and Bayesian Theory Averaging [PDF]
Econometrics, 2020 In economic applications, model averaging has found principal use in examining the validity of various theories related to observed heterogeneity in outcomes such as growth, development, and trade. Though often easy to articulate, these theories are imperfectly captured quantitatively.
Lenkoski, Alex, Aanes, Fredrik L.
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Adaptive tracking control of flapping wing micro-air vehicles with averaging theory
CAAI Transactions on Intelligence Technology, 2018 An input constrained adaptive tracking controller is designed for flapping micro aerial vehicles, wherein the moving averaging filter is adopted to estimate the averaged states of the system.
Chen Qian, Yongchun Fang
semanticscholar +3 more sources
Averaging Theory for Description of Environmental Problems: What Have We Learned? [PDF]
Adv Water Resour, 2013 W. G. Gray, Cass T. Miller, B. Schrefler
semanticscholar +2 more sources
Higher order stroboscopic averaged functions: a general relationship with Melnikov functions
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In the research literature, one can find distinct notions for higher order averaged functions of regularly perturbed non-autonomous $T$-periodic differential equations of the kind $x'=\varepsilon F(t,x,\varepsilon)$.
Douglas Novaes
doaj +1 more source
The Proximal Average: Basic Theory [PDF]
SIAM Journal on Optimization, 2008 The notion of proximal average of two convex functions introduced by \textit{H. H. Bauschke, E. Matoušková} and \textit{S. Reich} [Nonlinear Anal., Theory Methods Appl. 56A, No. 5, 715--738 (2004; Zbl 1059.47060)] is extended to finitely many convex functions on a real Hilbert space.
Bauschke, Heinz H. +3 more
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Aperture averaging: theory and measurements [PDF]
SPIE Proceedings, 2004 Atmospheric laser communications using direct-detection systems do suffer from severe degradation caused by scintillation. Because the atmospheric cut-off frequency can be as low as 100 Hz, temporal averaging is not applicable in high-speed communications.
Perlot, Nicolas, Fritzsche, Daniel
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On the Periodic Solutions for the Perturbed Spatial Quantized Hill Problem
Mathematics, 2022 In this work, we investigated the differences and similarities among some perturbation approaches, such as the classical perturbation theory, Poincaré–Lindstedt technique, multiple scales method, the KB averaging method, and averaging theory.
Elbaz I. Abouelmagd +4 more
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Calculating periodic orbits of the Hénon–Heiles system
Frontiers in Astronomy and Space Sciences, 2023 This work is divided to two parts; the first part analyzes the features of Hénon–Heiles’s potential and finding the energy levels for bounded and unbounded motions.
Sawsan Alhowaity +4 more
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