Results 11 to 20 of about 314,508 (216)
Coaxial Cross-Diffusion through Carbon Nantoubes
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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Cross-diffusion on multiplex networks
Abstract During the past decades, pattern formulation with reaction–diffusion systems has attracted great research interest. Complex networks, from single-layer networks to more complicated multiplex networks, have made great contribution to the development of this area, especially with emergence of Turing patterns.
Shupeng Gao +5 more
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A cross-diffusion system derived from a Fokker-Planck equation with partial averaging [PDF]
A cross-diffusion system for two compoments with a Laplacian structure is analyzed on the multi-dimensional torus. This system, which was recently suggested by P.-L.
Jüngel, Ansgar, Zamponi, Nicola
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Stability analysis of reaction-diffusion models on evolving domains: the effects of cross-diffusion [PDF]
This article presents stability analytical results of a two component reaction-diffusion system with linear cross-diffusion posed on continuously evolving domains.
Barreira, Raquel +2 more
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Numerical modeling of cross-diffusion processes
The paper studied the processes represented by a system of equations of a particular product of the parabolic type. For the solution of mutual diffusion problems, evaluations were obtained according to the environmental parameters and the dimensions of the space.
Muhamediyeva D. K. +2 more
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Weak solutions to Allen-Cahn-like equations modelling consolidation of porous media [PDF]
We study the weak solvability of a system of coupled Allen--Cahn--like equations resembling cross--diffusion which is arising as a model for the consolidation of saturated porous media.
Cirillo, Emilio Nicola Maria +2 more
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Backward Parabolicity, Cross-Diffusion and Turing Instability [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Moussa, Ayman +2 more
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Global well-posedness of a conservative relaxed cross diffusion system [PDF]
We prove global existence in time of solutions to relaxed conservative cross diffusion systems governed by nonlinear operators of the form $u_i\to \partial_tu_i-\Delta(a_i(\tilde{u})u_i)$ where the $u_i, i=1,...,I$ represent $I$ density-functions ...
Lepoutre, Thomas +2 more
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A Multispecies Cross-Diffusion Model for Territorial Development [PDF]
We develop an agent-based model on a lattice to investigate territorial development motivated by markings such as graffiti, generalizing a previously-published model to account for K groups instead of two groups. We then analyze this model and present two novel variations.
Abdulaziz Alsenafi, Alethea Barbaro
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Cross-diffusion systems with excluded volume effects and asymptotic gradient flows [PDF]
In this paper we discuss the analysis of a cross-diffusion PDE system for a mixture of hard spheres, which was derived by Bruna and Chapman from a stochastic system of interacting Brownian particles using the method of matched asymptotic expansions.
Bruna, Maria +3 more
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