Results 21 to 30 of about 5,278,448 (205)
A Parabolic Cross-Diffusion System for Granular Materials [PDF]
SIAM Journal on Mathematical Analysis, 2003 The authors analyze a cross-diffusion system of parabolic equations for the relative concentration \(u\) and the dynamic repose angle \(\theta\) of a mixture of two different granular materials in a long rotating drum \[ u_t-(\nu u_z-(1-u^2)\theta_z)_z=0, \] \[ \theta_t-(\gamma u+\theta)_{zz}+\theta=\mu u\quad\text{in}\;Q_T:=\Omega\times(0,T).
Gonzalo Galiano Casas +2 more
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Backward Parabolicity, Cross-Diffusion and Turing Instability [PDF]
Journal of Nonlinear Science, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Moussa, Ayman +2 more
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Advances in Nonlinear Analysis, 2019 In bounded n-dimensional domains Ω, the Neumann problem for the parabolic ...
Winkler Michael
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Mathematical analysis of toxin-phytoplankton-fish model with self-diffusion and cross-diffusion
Biomath, 2019 In this paper we propose a nonlinear reaction-diffusion system describing the interaction between toxin-producing phytoplankton and fish population. We analyze the effect of self- and cross-diffusion on the dynamics of the system.
Hamidou Ouedraogo +2 more
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Mathematics, 2020 A simple mathematical model capable of reproducing formation of small-scale spatial structures in prey–predator system is presented. The migration activity of predators is assumed to be determined by the degree of their satiation. The hungrier individual
Yuri V. Tyutyunov +2 more
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Boundary Value Problems, 2017 Spatiotemporal patterns driven by cross-diffusion of a uni-directional consumer-resource (C-R) system with Holling-II type functional response are investigated in this paper.
Renji Han, Binxiang Dai
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Mathematics, 2022 In this paper, we consider a Leslie–Gower cross diffusion predator–prey model with a strong Allee effect and hunting cooperation. We mainly investigate the effects of self diffusion and cross diffusion on the stability of the homogeneous state point and ...
Meng Zhu, Jing Li, Xinze Lian
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Finite element approximation of a nonlinear cross-diffusion population model [PDF]
, 2003 We consider a fully discrete finite element approximation of the nonlinear cross-diffusion population model: Find u i, the population of the ith species, i = 1 and 2, such that ∂ui ∂t −Δ [ ci ui + ai u2i + ui uj] − bi ∇.
John W. Barrett +6 more
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Cross-diffusion systems with convective transport [PDF]
E3S Web of Conferences, 2023 The properties of cross-diffusion systems, which have double nonlinearity and include convective transfer, are investigated. This means that two factors are taken into account in the system: diffusion (random movement) and convection (transfer with the ...
Muhamediyeva Dildora
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Existence of Solutions to Reaction Cross Diffusion Systems
SIAM Journal on Mathematical Analysis, 2023 Reaction cross diffusion systems are a two species generalization of the porous media equation. These systems play an important role in the mechanical modeling of living tissues and tumor growth. Due to their mixed parabolic-hyperbolic structure, even proving the existence of solutions to these equations is challenging.
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