Results 31 to 40 of about 893,395 (191)

Global solutions of a strongly coupled reaction-diffusion system with different diffusion coefficients

Journal of Applied Mathematics, 2005
We deal with a mathematical model for a four-component chemical reaction-diffusion process. The model is described by a system of strongly coupled reaction-diffusion equations with different diffusion rates.
L. W. Somathilake, J. M. J. J. Peiris
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Hopf Bifurcation and Turing Instability Analysis for the Gierer–Meinhardt Model of the Depletion Type

Discrete Dynamics in Nature and Society, 2020
The reaction diffusion system is one of the important models to describe the objective world. It is of great guiding importance for people to understand the real world by studying the Turing patterns of the reaction diffusion system changing with the ...
Lianchao Gu, Peiliang Gong, Hongqing Wang   +2 more
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Anomalous subdiffusion with multispecies linear reaction dynamics [PDF]

, 2008
We have introduced a set of coupled fractional reaction-diffusion equations to model a multispecies system undergoing anomalous subdiffusion with linear reaction dynamics.
Henry, B. I., Langlands, Trevor, Wearne, S. L.   +2 more
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The diffusion identification in a SIS reaction-diffusion system

Mathematical Biosciences and Engineering
This article is concerned with the determination of the diffusion matrix in the reaction-diffusion mathematical model arising from the spread of an epidemic.
Aníbal Coronel , Fernando Huancas, Ian Hess, Alex Tello   +3 more
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Solid state reaction mechanism of the FexO-TiO2 system

工程科学学报, 2015
The diffusion couple was used to study solid state reaction in the FexO-TiO2 system at a temperature range of 1323 to 1473 K,during which the oxygen partial pressure was controlled by CO-CO2 gas mixture.
REN Zhong-shan, HU Xiao-jun, ZHENG Jian-chao, ZHOU Guo-zhi, XUE Xiang-xin   +4 more
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Complex wave patterns in an effective reaction–diffusion model for chemical reactions in microemulsions [PDF]

, 2011
An effective medium theory is employed to derive a simple qualitative model of a pattern forming chemical reaction in a microemulsion. This spatially heterogeneous system is composed of water nanodroplets randomly distributed in oil.
Alonso Muñoz, Sergio, Baer, Markus, John, Karin   +2 more
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Modeling of reaction-diffusion processes of synthesis of materials with regular (periodic) microstructure

Open Ceramics, 2021
The paper represents results of modeling of reaction-diffusion processes that ensure the formation of materials with a regular (periodic) interconnected microstructure.
V.Ya. Shevchenko, A.I. Makogon, M.M. Sychov   +2 more
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Superfast front propagation in reactive systems with anomalous diffusion

, 2002
We study a reaction diffusion system where we consider a non-gaussian process instead of a standard diffusion. If the process increments follow a probability distribution with tails approaching to zero faster than a power law, the usual qualitative ...
A Vulpiani, Audoly B., D Vergni, Fischer R. A., Gnedenko B., Klafter J., Kolmogorov A. N., Montroll E., Murray J. D., Okubo A., Paladin G., Peters N., R Mancinelli, Torcini A., Yakhot V.   +14 more
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Non-linear effects on Turing patterns: time oscillations and chaos. [PDF]

, 2012
We show that a model reaction-diffusion system with two species in a monostable regime and over a large region of parameter space, produces Turing patterns coexisting with a limit cycle which cannot be discerned from the linear analysis. As a consequence,
Aragón, J. L., Baker, R. E., Barrio, R. A., Maini, P. K., Woolley, T. E.   +4 more
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Pattern formation of reaction-diffusion system having self-determined flow in the amoeboid organism of Physarum plasmodium

, 1998
The amoeboid organism, the plasmodium of Physarum polycephalum, behaves on the basis of spatio-temporal pattern formation by local contraction-oscillators.
A. B. Rovinsky, A. B. Rovinsky, A. C. Newell, A. Grebecki, A. J. Perumpanani, A. Takamatsu, D. A. Pavlov, D. A. Smith, E. F. Keller, E. F. Keller, G. F. Oster, H. T. Moon, H. T. Moon, Hiroyasu Yamada, J. T. Stuart, K. Matsumoto, K. Nozaki, K. Nozaki, K. Takahashi, L. R. Keefe, L. R. Keefe, M. Ishigami, M. Menzinger, M. Mimura, Masami Ito, N. Kamiya, N. Kamiya, S. Ei, S. Ogihara, T. Höfer, T. Nakagaki, T. Ueda, T. Ueda, Toshiyuki Nakagaki, V. A. Teplov, W. Naib-Majani, W. van Saarloos, Y. Kuramoto, Y. Miyake, Y. Miyake, Y. Miyake, Y. Yoshimoto, Y. Yoshimoto, Y. Yoshimoto, Z. Baranowski   +44 more
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