Results 31 to 40 of about 37,564 (233)
A nonlocal eigenvalue problem and the stability of spikes for reaction-diffusion systems with fractional reaction rates [PDF]
, 2003 We consider a nonlocal eigenvalue problem which arises in the study of stability of spike solutions for reaction-diffusion systems with fractional reaction rates such as the Sel'kov model, the Gray-Scott system, the hypercycle Eigen and Schuster ...
Dancer E. N. +11 more
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Axioms, 2023 In this paper, we introduce the Crowley–Martin functional response and nonlocal competition into a reaction–diffusion immunosuppressive infection model.
Yuan Xue, Jinli Xu, Yuting Ding
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Is a nonlocal diffusion strategy convenient for biological populations in competition? [PDF]
, 2015 We study the convenience of a nonlocal dispersal strategy in a reaction-diffusion system with a fractional Laplacian operator. We show that there are circumstances - namely, a precise condition on the distribution of the resource - under which a nonlocal
Massaccesi, Annalisa, Valdinoci, Enrico
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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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Influence of yttrium iron garnet thickness and heater opacity on the nonlocal transport of electrically and thermally excited magnons [PDF]
, 2016 We studied the nonlocal transport behavior of both electrically and thermally excited magnons in yttrium iron garnet (YIG) as a function of its thickness. For electrically injected magnons, the nonlocal signals decrease monotonically as the YIG thickness
Cornelissen, Ludo J. +6 more
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Nonlocal Neural Networks, Nonlocal Diffusion and Nonlocal Modeling
, 2018 Nonlocal neural networks have been proposed and shown to be effective in several computer vision tasks, where the nonlocal operations can directly capture long-range dependencies in the feature space. In this paper, we study the nature of diffusion and damping effect of nonlocal networks by doing spectrum analysis on the weight matrices of the well ...
Tao, Yunzhe +3 more
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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 +4 more
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Fractal and FractionalUltrafast diffusion disperses faster than super-diffusion, and this has been proven by several theoretical and experimental investigations. The mean square displacement of ultrafast diffusion grows exponentially, which provides a significant challenge ...
Wei Xu +3 more
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Continuous dependence estimates for nonlinear fractional convection-diffusion equations
, 2012 We develop a general framework for finding error estimates for convection-diffusion equations with nonlocal, nonlinear, and possibly degenerate diffusion terms.
Biler P. +5 more
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A Generalization of the Hopf-Cole Transformation [PDF]
, 2012 A generalization of the Hopf-Cole transformation and its relation to the Burgers equation of integer order and the diffusion equation with quadratic nonlinearity are discussed. The explicit form of a particular analytical solution is presented.
Miskinis, Paulius
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