Results 31 to 40 of about 36,953 (196)
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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Traveling front of polyhedral shape for a nonlocal delayed diffusion equation
Electronic Journal of Qualitative Theory of Differential Equations, 2020 This paper is concerned with the existence and stability of traveling fronts with convex polyhedral shape for nonlocal delay diffusion equations. By using the existence and stability results of V-form fronts and pyramidal traveling fronts, we first show ...
Jia Liu
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A new nonlocal nonlinear diffusion equation for image denoising and data analysis [PDF]
, 2017 In this paper we introduce and study a new feature-preserving nonlinear anisotropic diffusion for denoising signals. The proposed partial differential equation is based on a novel diffusivity coefficient that uses a nonlocal automatically detected ...
Aletti, Giacomo +2 more
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Complexity, 2022 In this paper, we study the existence of positive steady states for a nonlocal reaction-diffusion model which describes the growth of a single phytoplankton species with nonlocal crowding effect caused by chemosensory aggregation in a water column.
Yan Wang, Jinxiang Wang, Xiaobin Yao
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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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Remarks on parabolic equation with the conformable variable derivative in Hilbert scales
AIMS Mathematics, 2022 In this paper, we are interested in diffusion equations with conformable derivatives with variable order. We will study two different types of models: the initial value model and the nonlocal in time model.
Phuong Nguyen Duc +3 more
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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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The exit-time problem for a Markov jump process
, 2014 The purpose of this paper is to consider the exit-time problem for a finite-range Markov jump process, i.e, the distance the particle can jump is bounded independent of its location.
Burch, Nathanial +2 more
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Partial differential systems with nonlocal nonlinearities: Generation and solutions [PDF]
, 2018 We develop a method for generating solutions to large classes of evolutionary partial differential systems with nonlocal nonlinearities. For arbitrary initial data, the solutions are generated from the corresponding linearized equations.
Beck, Margaret +3 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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