Results 11 to 20 of about 36,953 (196)
Quasinonlocal coupling of nonlocal diffusions [PDF]
SIAM Journal on Numerical Analysis, 2017 We developed a new self-adjoint, consistent, and stable coupling strategy for nonlocal diffusion models, inspired by the quasinonlocal atomistic-to-continuum method for crystalline solids.
Li, Xingjie Helen, Lu, Jianfeng
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Nonlocal diffusion of smooth sets
Mathematics in Engineering, 2022 We consider normal velocity of smooth sets evolving by the $ s- $fractional diffusion. We prove that for small time, the normal velocity of such sets is nearly proportional to the mean curvature of the boundary of the initial set for $ s\in [\frac{1}{2},
Anoumou Attiogbe +2 more
doaj +4 more sources
Travelling wavefronts in nonlocal diffusion equations with nonlocal delay effects [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2017 This paper deals with the existence, monotonicity, uniqueness and asymptotic behaviour of travelling wavefronts for a class of temporally delayed, spatially nonlocal diffusion ...
Guo, Shangjiang, Zimmer, Johannes
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Nonlocal gravity and the diffusion equation [PDF]
Physical Review D, 2010 We propose a nonlocal scalar-tensor model of gravity with pseudodifferential operators inspired by the effective action of p-adic string and string field theory on flat spacetime.
G. V. Efimov +4 more
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Age-Structured Population Dynamics with Nonlocal Diffusion. [PDF]
J Dyn Differ Equ, 2022 Random diffusive age-structured population models have been studied by many researchers. Though nonlocal diffusion processes are more applicable to many biological and physical problems compared with random diffusion processes, there are very few theoretical results on age-structured population models with nonlocal diffusion.
Kang H, Ruan S, Yu X.
europepmc +5 more sources
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 +2 more sources
A quasinonlocal coupling method for nonlocal and local diffusion models [PDF]
SIAM Journal on Numerical Analysis, 2017 In this paper, we extend the idea of "geometric reconstruction" to couple a nonlocal diffusion model directly with the classical local diffusion in one dimensional space.
Du, Qiang +3 more
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Rough nonlocal diffusions [PDF]
Stochastic Processes and their Applications, 2021 55 pages.
Coghi M., Nilssen T.
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Nonlocal Conduction in a Metawire. [PDF]
Adv MaterA 1D metawire composed of twisted copper wires is designed and realized. This metamaterial exhibits pronounced effects of nonlocal electric conduction according to Ohm's law. The current at one location not only depends on the electric field at that location but also on other locations.
Iglesias Martínez JA +3 more
europepmc +2 more sources
A Review of Local-to-Nonlocal Coupling Methods in Nonlocal Diffusion and Nonlocal Mechanics [PDF]
Journal of Peridynamics and Nonlocal Modeling, 2021 Local-to-Nonlocal (LtN) coupling refers to a class of methods aimed at combining nonlocal and local modeling descriptions of a given system into a unified coupled representation. This allows to consolidate the accuracy of nonlocal models with the computational expediency of their local counterparts, while often simultaneously removing additional ...
Marta D’Elia +4 more
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