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Minkowski Dimension and Explicit Tube Formulas for p-Adic Fractal Strings
Fractal and Fractional, 2018 The theory of complex dimensions describes the oscillations in the geometry (spectra and dynamics) of fractal strings. Such geometric oscillations can be seen most clearly in the explicit volume formula for the tubular neighborhoods of a p-adic fractal ...
Michel L. Lapidus +2 more
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Application basis and research progress of fractal theory in mineral processing
Meitan xuebao, 2023 With the exploitation of mineral resources, some problems, such as the difficulty of mineral resources development and the difficulty of mine solid waste treatment, have seriously restricted the green, economic, efficient and sustainable development of ...
Xinran LIU +5 more
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Mathematical Model for Effective Gas Diffusion Coefficient in Multi-scale Fractal Porous Media [PDF]
E3S Web of Conferences, 2021 Based on the capillary hypothesis and fractal theory, a mathematical model for calculating the effective gas diffusion coefficient in porous media is established. By using fractal geometry theory, pore area fractal dimension, tortuosity fractal dimension
Zhehua Du
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Periodic waves travelling along an unsmooth boundary via the fractal variational theory
Results in Physics, 2021 The solitary waves of the fractal Korteweg-de Vries (KdV) equation travelling along an unsmooth boundary is studied by Ji-Huan He, et al (Results in Physics, 2021, 104104 [1]).
Bo-Rong Zou, Kang-Jia Wang
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Fractal Model of Contact Thermal Stiffness
Machines, 2022 The continuity, self-similarity, and self-affinity of a microscopic contact surface can be described by the Weierstrass–Mandelbrot (W–M) function in fractal theory. To address the problems that the existing normal contact load fractal model does not take
Yunshuai Chen +4 more
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Atmosphere, 2023 Fractal theory was used to characterize particles and particle trapping parameters to accurately predict the particle filtration process inside a gasoline engine particle filter (GPF). The particles were fractal aggregates, and the fractal dimension (Df)
Yiqing Liu, Hao Wang, Haisheng Yu
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Urban spatial form analysis based on the architectural layout -- Taking Zhengzhou City as an example
PLoS ONE, 2022 The analysis of urban spatial form is the basic research of urban development. Traditional fractal research often focuses on the urban spatial layout, which cannot visually express the specific form, change characteristics and development trend of urban ...
Qindong Fan +3 more
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Investigation and Application of Fractal Theory in Cement-Based Materials: A Review
Fractal and Fractional, 2021 Cement-based materials, including cement and concrete, are the most widely used construction materials in the world. In recent years, the investigation and application of fractal theory in cement-based materials have attracted a large amount of attention
Lei Wang +6 more
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Historical aspects of fractal theory appearance
Физика волновых процессов и радиотехнические системы, 2021 In paper short definition of a fractal is made, its basic properties are resulted, historical preconditions of origination fractal theories in a context of terms «assemblage» and «function» which development is observed from the moment of their ...
Viktor A. Kuznetsov
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Seepage–Fractal Model of Embankment Soil and Its Application
Fractal and Fractional, 2022 Over time and across space, the hydraulic conductivity, fractal dimension, and porosity of embankment soil have strong randomness, which makes analyzing seepage fields difficult, affecting embankment risk analysis and early disaster warning.
Xiaoming Zhao +4 more
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