Results 271 to 280 of about 3,785,943 (309)

Cross diffusion-induced pattern in an SI model

Applied Mathematics and Computation, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yi Wang, Jianzhong Wang, Li Zhang
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Nonlinear Cross-Diffusion with Size Exclusion

SIAM Journal on Mathematical Analysis, 2010
The aim of this paper is to investigate the mathematical properties of a continuum model for diffusion of multiple species incorporating size exclusion effects. The system for two species leads to nonlinear cross-diffusion terms with double degeneracy, which creates significant novel challenges in the analysis of the system.
Martin Burger 0001, Marco Di Francesco, Jan-Frederik Pietschmann, Bärbel Schlake   +3 more
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Bifurcation of Reaction Cross-Diffusion Systems

International Journal of Bifurcation and Chaos, 2017
This 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.
Rong Zou, Shangjiang Guo
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Unsupervised metric fusion by cross diffusion

2012 IEEE Conference on Computer Vision and Pattern Recognition, 2012
Metric 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
Bo Wang 0044, Jiayan Jiang, Wei Wang 0028, Zhi-Hua Zhou, Zhuowen Tu   +4 more
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Study on a Cross Diffusion Parabolic System

Acta Mathematicae Applicatae Sinica, English Series, 2007
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Chen, Li, Hsiao, Ling, Warnecke, Gerald
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A Mixed-Culture Biofilm Model with Cross-Diffusion

Bulletin of Mathematical Biology, 2015
We 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., Sudarsan, Rangarajan, Eberl, Hermann J.   +2 more
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Cross Diffusion-Stresses Effects

Defect and Diffusion Forum, 2007
Three cross diffusion-stresses effects are considered: mobility-stress effect, flux-stress effect and vacancy-stress effect. The value of the migration volume for vacancies in Al is found from atomistic computer simulation. A cross vacancy-stress effect is applied to the process of the pores growth and dissolution in Ni-based superalloys.
Boris S. Bokstein, Alexander Epishin, Vladimir Esin, Mikhail Mendelev, Alexey Rodin, Sergei Zhevnenko   +5 more
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Negative refractoriness in excitable systems with cross-diffusion

Biophysics, 2009
The 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, V N, Biktashev, G R, Ivannitskiĭ   +2 more
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Cross-diffusion models: Analytic and multiscale problems

Mathematical Models and Methods in Applied Sciences, 2018
A 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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Regularity of Solutions to a Class of Cross Diffusion Systems

SIAM Journal on Mathematical Analysis, 2005
Interior Hölder continuity of weak bounded solutions to a class of parabolic systems of the type \[ \vec u_t = \nabla . (A(\vec u)\nabla \vec u) + F(\vec u)\quad \text{on}\quad \Omega_T = \Omega \times (0,T) \tag{1} \] is proved under interesting structural conditions on the main part of the considered systems. Here \(A(\vec u)= (P_{ij}(\vec u))_{i,j=1,
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