Results 21 to 30 of about 37,564 (233)
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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Biological modeling with nonlocal advection–diffusion equations
Mathematical Models and Methods in Applied Sciences, 2023 The employment of nonlocal PDE models to describe biological aggregation and other phenomena has gained considerable traction in recent years. For cell populations, these methods grant a means of accommodating essential elements such as cell adhesion, critical to the development and structure of tissues.
Painter, K.J., Hillen, T., Potts, J.R.
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Dynamics of a nonlocal SIR epidemic model with free boundaries
Franklin Open, 2023 This paper is devoted to a nonlocal SIR type epidemic model, with free boundary denoting the expanding front. We aim to examine the full information about the dynamical behaviors of the involved disease that caused by the nonlocal diffusion and growing ...
Jia-Feng Cao +3 more
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Nonlocal diffusion of smooth sets
Mathematics in Engineering, 2021 18 ...
Anoumou Attiogbe +2 more
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Isoperimetric inequalities in nonlocal diffusion problems with integrable kernel [PDF]
Opuscula MathematicaWe deduce isoperimetric estimates for solutions of linear stationary and evolution problems. Our main result establishes the comparison in norm between the solution of a problem and its symmetric version when nonlocal diffusion defined through integrable
Gonzalo Galiano
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On a nonlocal analog of the Kuramoto-Sivashinsky equation [PDF]
, 2014 We study a nonlocal equation, analogous to the Kuramoto-Sivashinsky equation, in which short waves are stabilized by a possibly fractional diffusion of order less than or equal to two, and long waves are destabilized by a backward fractional diffusion of
Granero-Belinchón, Rafael +1 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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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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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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Journal of Mathematical Analysis and Applications, 2015 In this paper, the authors are concerned with the existence of solutions to nonlocal parabolic partial differential equations, in the sense of aiming to construct solutions that inherit a certain minimizing property. Such parabolic minimizers or variational solutions are advantageous since they are likely to possess better regularity properties due to ...
Bögelein, Verena +3 more
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