Results 241 to 250 of about 330,116 (279)
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Bifurcation of Reaction Cross-Diffusion Systems
International Journal of Bifurcation and Chaos, 2017This paper is devoted to a reaction cross-diffusion system under Neumann boundary conditions. Firstly, the existence and multiplicity of spatially nonhomogeneous/homogeneous steady-state solutions are investigated by means of Lyapunov–Schmidt reduction.
Zou, Rong, Guo, Shangjiang
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Cross-diffusion models: Analytic and multiscale problems
Mathematical Models and Methods in Applied Sciences, 2018A presentation of a special issue on the derivation of cross-diffusion models and on the related analytical problems is proposed in this note. A brief introduction to motivations and recently published literature is presented in the first part. Subsequently, a concise description of the contents of the papers published in the issue follows.
Bellomo, N., Tao, Y., Winkler, M.
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Study on a Cross Diffusion Parabolic System
Acta Mathematicae Applicatae Sinica, English Series, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Li, Hsiao, Ling, Warnecke, Gerald
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A Mixed-Culture Biofilm Model with Cross-Diffusion
Bulletin of Mathematical Biology, 2015We propose a deterministic continuum model for mixed-culture biofilms. A crucial aspect is that movement of one species is affected by the presence of the other. This leads to a degenerate cross-diffusion system that generalizes an earlier single-species biofilm model. Two derivations of this new model are given.
Rahman, Kazi A. +2 more
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Unsupervised metric fusion by cross diffusion
2012 IEEE Conference on Computer Vision and Pattern Recognition, 2012Metric learning is a fundamental problem in computer vision. Different features and algorithms may tackle a problem from different angles, and thus often provide complementary information. In this paper, we propose a fusion algorithm which outputs enhanced metrics by combining multiple given metrics (similarity measures). Unlike traditional co-training
null Bo Wang +4 more
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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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Stochastic PDEs with cross-diffusion effects
2022Wir beweisen die Existenz von globalen Martingalllösungen für eine allgemeine Klasse von Kreuzdiffusionssystemen unter dem Einfluss multiplikativen Rauschens. Die betrachteten Gleichungen beschreiben Mehrkomponentensysteme, welche aus physikalischen oder biologischen Anwendungen stammen. In den meisten Fällen sind die Diffusionsmatrizen dieser Probleme
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Chemotactic cross-diffusion in complex frameworks
Mathematical Models and Methods in Applied Sciences, 2016The papers published in a special issue devoted to chemotactic cross-diffusion in complex frameworks are presented. A brief discussion of their contents aims at opening some perspectives for possible future research.
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Negative refractoriness in excitable systems with cross-diffusion
Biophysics, 2009The results of numerical experiments with mathematical models of excitable systems with cross-diffusion are presented. It was shown that the refractoriness in such systems may be negative. The effects of negative refractoriness on the propagation and interaction of waves are demonstrated.
M A, Tsyganov +2 more
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