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On the Cross-diffusion and Soret Effect in Multicomponent Mixtures
Microgravity Science and Technology, 2008The model of convection in a multicomponent fluid is considered taking into account the cross-diffusion and the Soret effect. It is shown that the cross-diffusion coefficients can be eliminated by a linear change of composition and the thermal diffusion coefficients.
Ryzhkov, Ilya, Shevtsova, Valentina
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2016
Cross-diffusion models are systems of strongly coupled parabolic equations. In Sect. 4.1, we present some known examples arising in cell biology and thermodynamics. The derivation of these models from on-lattice models or fluid equations for mixtures is sketched in Sect. 4.2, using results from Ostrander, SIAM Undergrad, Res, 4, 2011, [53], Jackson and
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Cross-diffusion models are systems of strongly coupled parabolic equations. In Sect. 4.1, we present some known examples arising in cell biology and thermodynamics. The derivation of these models from on-lattice models or fluid equations for mixtures is sketched in Sect. 4.2, using results from Ostrander, SIAM Undergrad, Res, 4, 2011, [53], Jackson and
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PEB model with cross-diffusion
SPIE Proceedings, 2003ABSTRACT In multi-component chemical systems, thermodynamic fluxes linearly depend on thermodynamic forces through thematrix of Onsagers coefficients. By applying Onsager s relationship to the PEB diffusion of acid and other relevantchemical components, we deducted a generalization of the traditional PEB diffusion-reaction equations.
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Cross-diffusion in the two-variable Oregonator model
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2013We explore the effect of cross-diffusion on pattern formation in the two-variable Oregonator model of the Belousov-Zhabotinsky reaction. For high negative cross-diffusion of the activator (the activator being attracted towards regions of increased inhibitor concentration) we find, depending on the values of the parameters, Turing patterns, standing ...
Berenstein, Igal +1 more
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Numerical Solution of Nonlinear Cross Diffusion Problems
2019This paper considered cross-diffusion equations. With those equations the concentration development in a certain region during an interesting time-interval can be described.
Günter Bärwolff, Julia Baumbach
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Pattern formation of an epidemic model with cross diffusion
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Dynamical behavior for a cross-diffusion model of forests
Communications in Nonlinear Science and Numerical Simulation, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Bifurcation and turing instability for a predator-prey model with nonlinear reaction cross-diffusion
Applied Mathematical Modelling, 2021Pengmiao Hao, Peiguang Wang
exaly
Cross-diffusion effects on a morphochemical model for electrodeposition
Applied Mathematical Modelling, 2018Deborah Lacitignola +2 more
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