Results 21 to 30 of about 334,844 (263)

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, Ansgar Jüngel, Julián Velasco Valdés   +2 more
openaire   +2 more sources

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, Perthame, Benoît, Salort, Delphine   +2 more
openaire   +1 more source

Spatiotemporal Pattern Formation in a Prey-Predator System: The Case Study of Short-Term Interactions Between Diatom Microalgae and Microcrustaceans

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, Anna D. Zagrebneva, Andrey I. Azovsky   +2 more
doaj   +1 more source

The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in L1

Advances in Nonlinear Analysis, 2019
In bounded n-dimensional domains Ω, the Neumann problem for the parabolic ...
Winkler Michael
doaj   +1 more source

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, Wendkouni Ouedraogo, Boureima Sangare   +2 more
doaj   +1 more source

Pattern Dynamics of Cross Diffusion Predator–Prey System with Strong Allee Effect and Hunting Cooperation

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
doaj   +1 more source

Cross-diffusion-driven Turing instability and weakly nonlinear analysis of Turing patterns in a uni-directional consumer-resource system

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
doaj   +1 more source

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
doaj   +1 more source

Numerical modeling of cross-diffusion processes [PDF]

E3S Web of Conferences, 2023
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 ...
Muhamediyeva D. K., Nurumova A. Yu., Muminov S.Yu.   +2 more
doaj   +1 more source

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
openaire   +2 more sources