Results 31 to 40 of about 1,252,466 (233)
Adjusted intensity nonlocal diffusion model of photopolymer grating formation [PDF]
, 2002 Diffusion-based models of grating formation in photopolymers have been proposed in which the rate of monomer polymerization (removal) is directly proportional to the illuminating intensity inside the medium. However, based on photochemical considerations,
Lawrence, Justin R. +3 more
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Electro-reaction-diffusion systems with nonlocal constraints [PDF]
, 2003 The paper deals with equations modelling the redistribution of charged particles by reactions, drift and diffusion processes. The corresponding model equations contain parabolic PDEs for the densities of mobile species, ODEs for the densities of immobile
Glitzky, Annegret
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Effective nonlocal kernels on reaction–diffusion networks
Journal of Theoretical Biology, 2021 A new method to derive an essential integral kernel from any given reaction-diffusion network is proposed. Any network describing metabolites or signals with arbitrary many factors can be reduced to a single or a simpler system of integro-differential equations called "effective equation" including the reduced integral kernel (called "effective kernel"
Shin-Ichiro Ei +4 more
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Modeling change in public sentiment with nonlocal reaction-diffusion equations [PDF]
, 2022 This is a brief "proof of concept" article that shows nonlocal diffusion is well suited to the study of pattern formation and the particular application of public sentiment.
Shomberg, Joseph L.
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Nonlinear nonlocal reaction-diffusion problem with local reaction [PDF]
, 2022 In this paper we analyse the asymptotic behaviour of some nonlocal diffusion problems with local reaction term in general metric measure spaces.
Rodríguez Bernal, Aníbal +5 more
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Numerical modeling of population 2D-dynamics with nonlocal interaction [PDF]
Компьютерные исследования и моделирование, 2010 Numerical solutions for the two-dimensional reaction-diffusion equation with nonlocal nonlinearity are obtained. The solutions reveal formation of dissipative structures.
Aleksei Vladimirovich Borisov +2 more
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Identification of the Diffusion Parameter in Nonlocal Steady Diffusion Problems [PDF]
Applied Mathematics & Optimization, 2015 The problem of identifying the diffusion parameter appearing in a nonlocal steady diffusion equation is considered. The identification problem is formulated as an optimal control problem having a matching functional as the objective of the control and the parameter function as the control variable.
D'Elia, M., Gunzburger, M.
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Nonlocal-in-Time Dynamics and Crossover of Diffusive Regimes
International Journal of Numerical Analysis and Modeling, 2023 The aim of this paper is to study a simple nonlocal-in-time dynamic system proposed for the effective modeling of complex diffusive regimes in heterogeneous media. We present its solutions and their commonly studied statistics such as the mean square distance.
Qiang Du, Zhi Zhou
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Electronic Journal of Differential EquationsThis article studies the asymptotically periodic problem of time-space fractional reaction-diffusion equations with nonlocal initial conditions on infinite intervals.
Xuping Zhang, Kaibo Ding, Pengyu Chen
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Nonlinear AnalysisIn this paper, we propose a dryland ecosystem model with both nonlocal infiltration and nonlocal absorption and investigate the influence of the nonlocal effect on the vegetation patterns.
Yunzhuo Lin, Yongli Song, Shuyang Xue
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