Results 11 to 20 of about 1,252,466 (233)
Travelling Wavefronts in Nonlocal Diffusion Equations with Nonlocal Delay Effects [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2017 This paper deals with the existence, monotonicity, uniqueness and asymptotic behaviour of travelling wavefronts for a class of temporally delayed, spatially nonlocal diffusion equations.
Shangjiang Guo, Johannes Zimmer
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Nonlocal degenerate reaction-diffusion equations with general nonlinear diffusion term
Electronic Journal of Differential Equations, 2014 We study a class of second-order nonlocal degenerate semilinear reaction-diffusion equations with general nonlinear diffusion term. Under a set of conditions on the general nonlinear diffusivity and nonlinear nonlocal source term, we prove global ...
Sikiru Adigun Sanni
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Critical blow-up exponents for a nonlocal reaction-diffusion equation with nonlocal source and interior absorption [PDF]
Nonlinear Analysis, 2016 This paper is concerned with a nonlocal reaction-diffusion equation with the nonlocal source and interior absorption with Dirichlet conditions or Neumann conditions.
Jiashan Zheng
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Nonlocal Approximation of Slow and Fast Diffusion
Journal of Differential EquationsMotivated by recent work on approximation of diffusion equations by deterministic interacting particle systems, we develop a nonlocal approximation for a range of linear and nonlinear diffusion equations and prove convergence of the method in the slow, linear, and fast diffusion regimes.
Katy Craig, Matt Jacobs, Olga Turanova
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Minimum and comparison principles for semilinear nonlocal reaction–diffusion equations [PDF]
Boundary Value ProblemsWe consider second-order linear parabolic partial differential inequalities that include nonlocal zeroth-order quantities. For these, we establish minimum principles that highlight the interplay between the regularity of their coefficients, the growth ...
Nikolaos M. Ladas, John C. Meyer
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Experiments on Nonlocal Fluid-Flow Metamaterials. [PDF]
Adv Sci (Weinh)A nonlocal fluid‐flow metamaterial composed of standard microfluidic tubes and connectors is designed. Hence, the current of the system at one position depends on the gradient of fluid flow at many other positions, leading to unusual alternating backward and forward laminar flows of water.
Wang K, Chen Y, Wegener M.
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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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Young measures in a nonlocal phase transition problem [PDF]
, 1997 A nonlocal variational problem modelling phase transitions is studied in the framework of Young measures. The existence of global minimisers among functions with internal layers on an infinite tube is proved by combining a weak convergence result ...
Winter, M, Ren, X
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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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