Results 51 to 60 of about 1,252,466 (233)

A Nonlocal Fractional Peridynamic Diffusion Model

Fractal and Fractional, 2021
This paper proposes a nonlocal fractional peridynamic (FPD) model to characterize the nonlocality of physical processes or systems, based on analysis with the fractional derivative model (FDM) and the peridynamic (PD) model.
Yuanyuan Wang, HongGuang Sun, Siyuan Fan, Yan Gu, Xiangnan Yu   +4 more
doaj   +1 more source

A Noninvasive Approach to Study Localized Forces in 3D Epithelia

Advanced Materials, EarlyView.
Epithelial morphogenesis depends on dynamic mechanical coupling between adhesion complexes and the cytoskeleton, yet its regulation in polarized 3D tissues remains elusive. We developed a noninvasive strategy using cell‐like elastic microbeads to quantify local forces in intact epithelia.
Niels Gouirand, Muhamet Ibrahimi, Claire Valotteau, Brice Lecouffe, André Le Bivic, Dominique Massey‐Harroche, Felix Rico, Matthias Merkel, Delphine Delacour, Elsa Bazellières   +9 more
wiley   +1 more source

Preface to the Issue Nonlocal Reaction-Diffusion Equations

, 2015
1. Nonlocal reaction-diffusion equations in population dynamics Nonlocal reaction-diffusion equations are intensively studied during the last decade in relation with prob-lems in population dynamics and other applications.
Apreutesei, N., Davidson, F.; id_orcid, Volpert, V., V. Volpert, Alfaro, M., N. Apreutesei, M. Alfaro, F. Davidson   +7 more
core   +1 more source

Photonic Time Crystals and Time‐Varying Electromagnetic Metamatter: A New Direction for Ultrafast Tunable Photonic and Microwave Materials and Devices

Advanced Science, EarlyView.
Photonic time crystals (PTCs) are systems in which electromagnetic parameters are modulated periodically in time, producing momentum bandgaps via temporal scattering rather than spatial Bragg processes. This review examines the theoretical frameworks, modeling, and computational tools for time‐varying media, and summarizes experimental demonstrations ...
Ranjan Kumar Patel, Shriram Ramanathan, Ronald P. Jenkins, Michael J. Carter   +3 more
wiley   +1 more source

Wellposedness and dynamics of two types of reaction–nonlocal diffusion systems under the inhomogeneous spectral fractional Laplacian

Advances in Nonlinear Analysis
Reaction–nonlocal diffusion equations (RNDEs) model nonlocal transport and anomalous diffusion by replacing the Laplacian with a fractional power, capturing diffusion mechanisms beyond Brownian motion.
Yuan Pu, Zegeling Paul A.
doaj   +1 more source

Nonlocal diffusion and applications

, 2015
We consider the fractional Laplace framework and provide models and theorems related to nonlocal diffusion phenomena. Some applications are presented, including: a simple probabilistic interpretation, water waves, crystal dislocations, nonlocal phase transitions, nonlocal minimal surfaces and Schrödinger equations.
Bucur, Claudia, Valdinoci, Enrico
openaire   +2 more sources

Nonlocal Nonlinear Advection-Diffusion Equations

, 2017
The author reviews some results about nonlocal advection-diffusion equations based on lower bounds for the fractional ...
Constantin, Peter
core   +1 more source

The Caputo Nonlocal Structural Derivative Ultraslow Diffusion Model of Language Change and the Microscopic Mechanism

Fractal and Fractional
Numerous studies have observed and analyzed the dynamics of language change from a diffusion perspective. As a complex and changeable system, the process of language change is characterized by a long memory that conforms to ultraslow diffusion.
Wei Xu, Hui Liu, Yingjie Liang, Shijun Zhao   +3 more
doaj   +1 more source

Nonlocal Reaction-Diffusion Equations in Population Dynamics [PDF]

Memoirs of the Scientific Sections of the Romanian Academy, 2019
This paper is dedicated to the memory of Narcisa Apreutesei Various problems in population dynamics are described by nonlocal reactiondiffusion equations, where the conventional logistic term for the reproduction rate is replaced by some integral ...
V. Volpert
doaj  

An epidemic model with nonlocal diffusion on networks

Networks and Heterogeneous Media, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Elisabeth Logak, Isabelle Passat
openaire   +4 more sources