Results 41 to 50 of about 5,278,448 (205)
Cross-diffusion induced instability on networks
Journal of Complex NetworksAbstract The concept of Turing instability, namely that diffusion can destabilize the homogenous steady state, is well known either in the context of partial differential equations (PDEs) or in networks of dynamical systems. Recently, reaction–diffusion equations with non-linear cross-diffusion terms have been investigated, showing an ...
Christian Kuehn 0001, Cinzia Soresina
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On a Problem of Cross-Diffusion with Nonlocal Boundary Conditions [PDF]
Journal of Siberian Federal University. Mathematics & Physics, 2019 Condition of global existence of solution of a non-linear system of cross-diffusion with non-linear boundary conditions is studied in the paper.
Rakhmonov, Zafar R., Urunbayev, Jasur E.
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Journal of Mathematics, 2023 In this paper, we consider positive steady-state solutions of a cross-diffusions prey-predator model with Holling type II functional response. We investigate sufficient conditions for the existence and the nonexistence of nonconstant positive steady ...
Hongtao Zhang, Jingfu Zhao
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Diffusion in Cauchy Elastic Solid [PDF]
, 2022 It is commonly accepted that a starting point of the science of diffusion is the phenomenological diffusion equation postulated by German physiologist Adolf Fick inspired by experiments on diffusion by Thomas Graham and Robert Brown.
Danielewski, Marek, Sapa, Lucjan
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Diffusion in Metals and Intermetallics: An Overview [PDF]
, 2022 After a few remarks about the history of diffusion in solids we remind the reader to some basics of diffusion such as tracer diffusion, interdiffusion, high-diffusivity paths, and basic diffusion mechanism in solids.
Mehrer, Helmut
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Non-Cross Diffusion for Semantic Consistency
2025 IEEE/CVF Winter Conference on Applications of Computer Vision (WACV)In diffusion models, deviations from a straight generative flow are a common issue, resulting in semantic inconsistencies and suboptimal generations. To address this challenge, we introduce `Non-Cross Diffusion', an innovative approach in generative modeling for learning ordinary differential equation (ODE) models.
Ziyang Zheng +2 more
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, 1954 Part of the Stan Cross Archive of cartoons and drawings, 1912-1974.; Two copies of original drawing. "Merry Xmas and a Happy New Year From Stan Cross and his Family December 1954"; Also available in an electronic version via the internet at: http://nla ...
Cross, Stan, 1888-1977.
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Applied Mathematics in Science and EngineeringIn this paper, we investigate the dynamical behaviors of the cross-diffusion Leslie–Gower predator–prey system with a strong Allee effect, and mainly explore the Turing instability of spatially homogeneous periodic solutions for the system.
Haicheng Liu, Yanfeng Li
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Modeling Multi-generation Innovation Adoption based on Conjoint effect of Awareness Process [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2017 The prior models in the field of multi-generation diffusion modeling basically concentrated on employing effects of substitution and switching behavior.
Mohini Agarwal +3 more
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Advances in Difference Equations, 2018 In this paper, we propose and investigate persistence and Turing instability of a cross-diffusion predator–prey system with generalist predator.
Baojun Miao
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