Results 21 to 30 of about 58,987 (131)

Interfacial contact stiffness of fractal rough surfaces

Scientific Reports, 2017
In this work we describe a theoretical model that predicts the interfacial contact stiffness of fractal rough surfaces by considering the effects of elastic and plastic deformations of the fractal asperities.
Dayi Zhang, Ying Xia, Fabrizio Scarpa, Jie Hong, Yanhong Ma   +4 more
doaj   +1 more source

Fractional Liouville and BBGKI Equations

, 2006
We consider the fractional generalizations of Liouville equation. The normalization condition, phase volume, and average values are generalized for fractional case.The interpretation of fractional analog of phase space as a space with fractal dimension ...
Bogoliubov N N, Bogolybow N, Born M, Christensen R M, Collins J C, Forster D, Gurov K P, Isihara A, Kornfeld I P, Mandelbrot B, Petrina D Ya, Resibois P, Samko S G, Samko S G, Schroeder M, Tarasov V E, Tarasov V E, Tarasov V E, Tarasov V E, Vasily E Tarasov, Zaslavsky G M, Zaslavsky G M   +21 more
core   +1 more source

Multifractality and intermediate statistics in quantum maps [PDF]

, 2007
We study multifractal properties of wave functions for a one-parameter family of quantum maps displaying the whole range of spectral statistics intermediate between integrable and chaotic statistics.
B. Georgeot, F. Haake, J. Martin, O. Giraud   +3 more
core   +3 more sources

Fractional Calculus of Fractal Functions on Weighted Sobolev Spaces

Fractal and Fractional
In this article, the α-fractal interpolation function fα corresponding to any function f belonging to the weighted Sobolev space Wρr,2(I) is defined. The convergence of sequences of α-fractal interpolation functions corresponding to mappings in Wρr,2(I ...
Md. Nazimul Islam, Imrul Kaish, Md. Nasim Akhtar, María A. Navascués   +3 more
doaj   +1 more source

A Fractal Model for Characterizing Hydraulic Properties of Fractured Rock Mass under Mining Influence

Geofluids, 2019
In this paper, two basic assumptions are introduced: (1) The number and length distribution of fractures in fractured rock mass are in accordance with the fractal law. (2) Fluid seepage in the fractures satisfies the cubic law.
Xiaoli Liu, Tao Liang, Sijing Wang, Kumar Nawnit   +3 more
doaj   +1 more source

Changes in dendritic complexity and spine morphology following BCG immunization in APP/PS1 mice

Human Vaccines & Immunotherapeutics, 2022
Bacillus Calmette – Guerin (BCG) is an immune regulator that can enhance hippocampal synaptic plasticity in rats; however, it is unclear whether it can improve synaptic function in a mouse model with Alzheimer’s disease (AD).
Qingqing Li, Xiao Wang, Zhao Hua Wang, Zhenzong Lin, Jieyi Yang, Jichun Chen, Rui Wang, Wenfeng Ye, Ya Li, Yingying Wu, Aiguo Xuan   +10 more
doaj   +1 more source

The nonlocal problem for fractal diffusion equation

Міжнародний науково-технічний журнал "Проблеми керування та інформатики", 2023
Over the past few decades, the theory of pseudodifferential operators (PDO) and equations with such operators (PDE) has been intensively developed. The authors of a new direction in the theory of PDE, which they called parabolic PDE with non-smooth ...
Ярослав Михайлович Дрінь, Ірина Ігорівна Дрінь, Світлана Сергіївна Дрінь   +2 more
doaj   +1 more source

Anomalous diffusion on a fractal mesh

, 2016
An exact analytical analysis of anomalous diffusion on a fractal mesh is presented. The fractal mesh structure is a direct product of two fractal sets which belong to a main branch of backbones and side branch of fingers.
Iomin, Alexander, Kantz, Holger, Sandev, Trifce   +2 more
core   +1 more source

Wavelet transform modulus maxima based fractal correlation analysis

, 2007
The wavelet transform modulus maxima (WTMM) used in the singularity analysis of one fractal function is extended to study the fractal correlation of two multifractal functions.
33, A. Sharif, Brown, Chhabra, Cohen, Cole, D. C. Lin, Fortrat, Hentschel, Jaffard, Kravchenko, Lévy-Léhel, Mallat, Matteo, Meneveau, Meneveau, Muzy, Muzy, Riedi, Zeleke   +19 more
core   +3 more sources

Minkowski measurability results for self-similar tilings and fractals with monophase generators [PDF]

, 2012
In a previous paper [arXiv:1006.3807], the authors obtained tube formulas for certain fractals under rather general conditions. Based on these formulas, we give here a characterization of Minkowski measurability of a certain class of self-similar tilings
Lapidus, Michel L., Pearse, Erin P. J., Winter, Steffen   +2 more
core   +2 more sources