Results 1 to 10 of about 3,306 (214)
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
A nonlocal convection–diffusion equation
Journal of Functional Analysis, 2007 En este trabajo estudiamos una ecuación no local que tiene en cuenta los efectos convectivos y difusivos, ut=J∗u−u+G∗(f(u))−f(u) en Rd, siendo J radialmente simétrica y G no necesariamente simétrica. Primero, probamos la existencia, la singularidad y la dependencia continua con respecto a la condición inicial de las soluciones.
Julio D Rossi, Liviu Ignat
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A Quasi-nonlocal Coupling Method for Nonlocal and Local Diffusion Models [PDF]
SIAM Journal on Numerical Analysis, 2018 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. This new coupling framework removes interfacial inconsistency, ensures the flux balance, and satisfies energy conservation as well as the maximum principle, whereas none of existing ...
Jianfeng Lu, Qiang Du, Xiaochuan Tian
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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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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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Rough nonlocal diffusions [PDF]
Stochastic Processes and their Applications, 2021 55 pages.
Coghi M., Nilssen T.
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Fractal and Fractional, 2023 Recent studies have emphasized the importance of the long-distance diffusion model in characterizing tracer transport occurring within both subsurface and surface environments, particularly in heterogeneous systems.
Zhipeng Li +5 more
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Quasi-nonlocal 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. The proposed coupling model is coercive with respect to the energy norms induced by the nonlocal diffusion kernels as well as the $L^2$ norm, and it satisfies the ...
Xingjie Helen Li 0001, Jianfeng Lu 0001
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Path Laplacians versus fractional Laplacians as nonlocal operators on networks
New Journal of Physics, 2021 Here we study and compare nonlocal diffusion processes on networks based on two different kinds of Laplacian operators. We prove that a nonlocal diffusion process on a network based on the path Laplacian operator always converges faster than the standard
Ernesto Estrada
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Nonlocal gravity and the diffusion equation [PDF]
Physical Review D, 2010 18 pages, 5 figures. v2: typos corrected, references added. Major changes are an expansion of the discussion of homogeneous perturbations and the inclusion of cosmological fluids in the ...
Nardelli, Giuseppe, Calcagni, Gianluca
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