Results 11 to 20 of about 37,564 (233)
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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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.
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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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Dynamics analysis of a nonlocal diffusion dengue model [PDF]
Scientific Reports, 2023 Due to the unrestricted movement of humans over a wide area, it is important to understand how individuals move between non-adjacent locations in space. In this research, we introduce a nonlocal diffusion introduce for dengue, which is driven by integral
Kangkang Chang +2 more
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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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A nonlocal convection–diffusion equation
Journal of Functional Analysis, 2007 The authors study a nonlocal equation of the form \(u_t = J*u -u + G*(f(u)) - f(u)\) in \((0,\infty)\times\mathbb R^d\) subject to the initial condition \(u(x,0) = u_0(x)\), \(x \in\mathbb R^d\), with \(J\) radially symmetric and \(G\) not necessary symmetric. The nonlinearity \(f\) is assumed to be nondecreasing with \(f(0) = 0\) and locally Lipschitz
Ignat, L.I., Rossi, J.D.
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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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Influence of nonlocal on a rotating thermoelastic medium with diffusion and double porosity [PDF]
Scientific ReportsIn this paper, we have studied the thermodynamical interactions in a two-dimensional thermoelastic diffusion in homogeneous isotropic medium with nonlocal, rotation and double porosity in the context of Green–Lindsay theory. A thermal load was applied to
Doaa M. Salah +2 more
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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
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Rough nonlocal diffusions [PDF]
Stochastic Processes and their Applications, 2021 55 pages.
Coghi M., Nilssen T.
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