Results 11 to 20 of about 2,241,844 (264)
Engineering Fractal Photonic Metamaterials by Stochastic Self‐Assembly of Nanoparticles
Advanced Photonics Research, 2021 The scale‐invariant features of fractal‐structured materials offer significant opportunities for the manipulation of short‐ and long‐range light–matter interactions in a 3D space, with recent photonics applications including biomolecular sensing and ...
Zelio Fusco +6 more
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Self-Similarity and Localization [PDF]
Physical Review Letters, 1995 4 pages, RevTeX, 2 figures ...
Ketoja, Jukka A., Satija, Indubala I.
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Asymptotic profiles for a class of perturbed Burgers equations in one space dimension [PDF]
Opuscula Mathematica, 2018 In this article we consider the Burgers equation with some class of perturbations in one space dimension. Using various energy functionals in appropriate weighted Sobolev spaces rewritten in the variables \(\frac{\xi}{\sqrt\tau}\) and \(\log\tau\), we ...
F. Dkhil, M. A. Hamza, B. Mannoubi
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Dimension of the intersection of certain Cantor sets in the plane [PDF]
Opuscula Mathematica, 2021 In this paper we consider a retained digits Cantor set \(T\) based on digit expansions with Gaussian integer base. Let \(F\) be the set all \(x\) such that the intersection of \(T\) with its translate by \(x\) is non-empty and let \(F_{\beta}\) be the ...
Steen Pedersen, Vincent T. Shaw
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Elementary Fractal Geometry. 2. Carpets Involving Irrational Rotations
Fractal and Fractional, 2022 Self-similar sets with the open set condition, the linear objects of fractal geometry, have been considered mainly for crystallographic data. Here we introduce new symmetry classes in the plane, based on rotation by irrational angles.
Christoph Bandt, Dmitry Mekhontsev
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Study on Flow Characteristic of Sub-/Super-Sonic Mixing Layer
Xibei Gongye Daxue Xuebao, 2020 In order to obtain the flow characteristics of sub-super-sonic mixing layer including velocity distribution, pressure distribution and development of mixing layer, experimental and numerical investigations were conducted.
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Self-similar magnetohydrodynamics [PDF]
Plasma Physics and Controlled Fusion, 1984 For the solution of the full set of magnetohydrodynamics (MHD) equations in the presence of gravity due to a central point-mass, a self-similar theory for a general polytrope has already suggested a set of exact time-dependent solutions by analytical methods for a, (gamma = 4\over3) polytrope, since (gamma = 4/3) is the simplest to treat.
Sanyal, Abhik Kumar, Ray, D.
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The Expansion of Self-similar Functions in the Faber–Schauder System
Моделирование и анализ информационных систем, 2017 Let \(\Omega = A^{N}\) be a space of right-sided innite sequences drawn from a nite alphabet \(A = \{0,1\}\), \(N = \{1,2,\dots\}\). Let $$\label{rho} \rho(\boldsymbol{x},\boldsymbol{y}) =\sum_{k=1}^{\infty}|x_{k} - y_{k}|2^{-k}$$- be a metric on ...
Evgeniy A. Timofeev
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Fractal Antennas: An Historical Perspective
Fractal and Fractional, 2020 Fractal geometry has been proven to be useful in several disciplines. In the field of antenna engineering, fractal geometry is useful to design small and multiband antenna and arrays, and high-directive elements.
Jaume Anguera +7 more
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Notes on the Transversality Method for Iterated Function Systems—A Survey
Mathematical and Computational Applications, 2023 This is a brief survey of selected results obtained using the “transversality method” developed for studying parametrized families of fractal sets and measures. We mostly focus on the early development of the theory, restricting ourselves to self-similar
Boris Solomyak
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