Results 31 to 40 of about 5,278,448 (205)
Evolution of cross-diffusion and self-diffusion
Journal of Biological Dynamics, 2009 This article is concerned with the evolution of certain types of density-dependent dispersal strategy in the context of two competing species with identical population dynamics and same random dispersal rates. Such density-dependent movement, often referred to as cross-diffusion and self-diffusion, assumes that the movement rate of each species depends
Yuan, Lou, Salome, Martínez
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Envelope Quasisolitons in Dissipative Systems with Cross-Diffusion [PDF]
Physical Review Letters, 2011 We consider two-component nonlinear dissipative spatially extended systems of reaction-cross-diffusion type. Previously, such systems were shown to support "quasi-soliton" pulses, which have fixed stable structure but can reflect from boundaries and penetrate each other.
Biktashev, V. N., Tsyganov, M. A.
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Cross-diffusion-driven instability for reaction-diffusion systems: analysis and simulations
, 2015 By introducing linear cross-diffusion for a two-component reaction-diffusion system withactivator-depletedreaction kinetics (Gierer and Meinhardt,Kybernetik 12:30–39,1972;PrigogineandLefever,JChemPhys48:1695–1700,1968;Schnakenberg, J Theor Biol 81:389 ...
Ndakwo, Hussaini +5 more
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Diffusion, Self-Diffusion and Cross-Diffusion
Journal of Differential Equations, 1996 The following system, which determines steady-state solutions for a corresponding parabolic system, is considered: \[ \begin{aligned} \Delta[(d_1+\alpha_{11}u_1+\alpha_{12}u_2)u_1] &+u_1(a_1-b_1u_1-c_1u_2)=0,\\ \Delta[(d_2+\alpha_{21}u_1+\alpha_{22}u_2)u_2] &+u_2(a_2-b_2u_1-c_2u_2)=0\quad\text{in }\Omega,\end{aligned} \] \[ {\partial u_1\over\partial ...
Lou, Yuan, Ni, Wei-Ming
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Rigorous mean-field limit and cross-diffusion [PDF]
Zeitschrift für angewandte Mathematik und Physik, 2019 The mean-field limit in a weakly interacting stochastic many-particle system for multiple population species in the whole space is proved. The limiting system consists of cross-diffusion equations, modeling the segregation of populations. The mean-field limit is performed in two steps: First, the many-particle system leads in the large population limit
Li Chen, Esther S. Daus, Ansgar Jüngel
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Coaxial Cross-Diffusion through Carbon Nantoubes
The Journal of Physical Chemistry B, 2009 We present results from nonequilibrium molecular dynamics experiments describing the relaxation of local concentrations at two reservoirs, initially filled with water (W) and acetonitrile (ACN), as they become connected through a membrane composed of (16,16) carbon nanotubes.
Rodriguez, Javier +2 more
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Influence of cross-diffusion on the fecally-orally epidemic model with spatial heterogeneity
Advances in Difference Equations, 2017 A strongly coupled cooperative parabolic system, which describes fecally-orally epidemic model with cross-diffusion in a heterogeneous environment, was formulated and analyzed.
Jing Ge, Zhigui Lin, Qunying Zhang
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Trend to equilibrium for systems with small cross-diffusion [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2020 This paper presents new analytical results for a class of nonlinear parabolic systems of partial different equations with small cross-diffusion which describe the macroscopic dynamics of a variety of large systems of interacting particles. Under suitable assumptions, we prove existence of classical solutions and we show exponential convergence in time ...
Luca Alasio +3 more
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, 1957 Part of the Stan Cross Archive of cartoons and drawings, 1912-1974.; Copy of original drawing. "Greetings at Christmas 1957 From Stan and Jess Cross and Stephen"; Also available in an electronic version via the internet at: http://nla.gov.au/nla.pic ...
Cross, Stan, 1888-1977.
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On a cross-diffusion system arising in image denoising
Computers & Mathematics with Applications, 2018 To appear in Computers & Mathematics with ...
Gonzalo Galiano, Julián Velasco Valdés
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