The dynamics of nonlocal diffusion systems with different free boundaries
type: Item
instance of: scholarly article
title: The dynamics of nonlocal diffusion systems with different free boundaries
zbMATH Open document ID: 1445.35211
author: Lei Li
author: Mingxin Wang
author: Jianping Wang
published in: Communications on Pure and Applied Analysis
publication date: 2020-06-02T00:00:00Z
review text: The authors study a class of free boundary models with ``nonlocal diffusions'' given by convolutions. Their model allows also for different, potentially intersecting, free boundaries. As main result, they prove the existence and uniqueness of a global (smooth) solution.
reviewed by: Adrian Muntean
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35R20
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 7206883
zbMATH Keywords: nonlocal diffusion
zbMATH Keywords: different free boundaries
zbMATH Keywords: existence-uniqueness
zbMATH Keywords: spreading-vanishing
zbMATH Keywords: long time behavior
MaRDI profile type: Publication
full work available at URL: cpaa.2020161
OpenAlex ID: W3019166777
cites work: Existence, uniqueness and stability of the stationary solution to a nonlocal evolution equation arising in population dispersal
cites work: On the definition and the properties of the principal eigenvalue of some nonlocal operators
cites work: Persistence criteria for populations with non-local dispersion
cites work: The dynamics of a Fisher-KPP nonlocal diffusion model with free boundaries
cites work: On a simple criterion for the existence of a principal eigenfunction of some nonlocal operators
cites work: Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary
cites work: Two species nonlocal diffusion systems with free boundaries
cites work: On a free boundary problem for a two-species weak competition system
cites work: Dynamics for a two-species competition–diffusion model with two free boundaries
cites work: The evolution of dispersal
cites work: Random dispersal vs. non-local dispersal
cites work: Systems with nonlocal vs. local diffusions and free boundaries
cites work: Asymptotic spreading of a diffusive competition model with different free boundaries
cites work: Free boundary problems with nonlocal and local diffusions. I: Global solution
cites work: Free boundary problems with nonlocal and local diffusions. II: Spreading-vanishing and long-time behavior
cites work: On some free boundary problems of the prey-predator model
cites work: The diffusive logistic equation with a free boundary and sign-changing coefficient
cites work: Two kinds of free boundary problems for the diffusive prey-predator model
cites work: Note on a two-species competition-diffusion model with two free boundaries
cites work: Dynamics for a diffusive prey-predator model with different free boundaries
cites work: Free boundary problems for a Lotka-Volterra competition system
cites work: The minimal habitat size for spreading in a weak competition system with two free boundaries
cites work: Dynamics for the diffusive mutualist model with advection and different free boundaries
DOI: 10.3934/CPAA.2020161
description: scientific article