Dynamics of spike in a Keller-Segel's minimal chemotaxis model
type: Item
instance of: scholarly article
title: Dynamics of spike in a Keller-Segel's minimal chemotaxis model
zbMATH Open document ID: 1364.35128
author: Cong Qin
author: Xin Lai
author: Jianghao Hao
author: Xinfu Chen
author: Yajing Zhang
published in: Discrete and Continuous Dynamical Systems
publication date: 2017-01-09T00:00:00Z
Mathematics Subject Classification ID: 35K51
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 92D15
zbMATH DE Number: 6672801
zbMATH Keywords: spike dynamics
zbMATH Keywords: chemotaxis
zbMATH Keywords: potential analysis
zbMATH Keywords: asymptotic behavior
MaRDI profile type: Publication
full work available at URL: dcds.2017046
OpenAlex ID: W2559677421
cites work: Slow motion for the Cahn-Hilliard equation in one space dimension
cites work: Metastable patterns for the Cahn-Hilliard equation. I
cites work: Metastable patterns for the Cahn-Hilliard equation. II: Layer dynamics and slow invariant manifold
cites work: Q4225524
cites work: On the slow dynamics for the Cahn–Hilliard equation in one space dimension
cites work: Metastable patterns in solutions of ut = ϵ2uxx − f(u)
cites work: Generation, propagation, and annihilation of metastable patterns
cites work: Stability of spiky solution of Keller-Segel's minimal chemotaxis model
cites work: Dynamics of an interior spike in the Gierer-Meinhardt system
cites work: Slow dynamics of interior spikes in the shadow Gierer-Meinhardt system
cites work: Nonlinear aspects of chemotaxis
cites work: The generation and propagation of internal layers
cites work: The approach of solutions of nonlinear diffusion equations to travelling front solutions
cites work: Q3202548
cites work: Slow-motion manifolds, dormant instability, and singular perturbations
cites work: Global Behaviour of a Reaction-Diffusion System Modelling Chemotaxis
cites work: Singularity patterns in a chemotaxis model
cites work: Chemotactic collapse for the Keller-Segel model
cites work: Global existence for a parabolic chemotaxis model with prevention of overcrowding
cites work: A user's guide to PDE models for chemotaxis
cites work: The one-dimensional chemotaxis model: global existence and asymptotic profile
cites work: From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
cites work: From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II
cites work: On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
cites work: The stability and dynamics of a spike in the 1D Keller–Segel model
cites work: Initiation of slime mold aggregation viewed as an instability
cites work: Large amplitude stationary solutions to a chemotaxis system
cites work: Q4872331
cites work: Q4381941
cites work: Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains
cites work: Locating the peaks of least-energy solutions to a semilinear Neumann problem
cites work: Q4824324
cites work: Random walk with persistence and external bias
cites work: Parabolic system of chemotaxis: Blowup in a finite and the infinite time.
cites work: Dynamics and Coarsening of Interfaces for the Viscous Cahn—Hilliard Equation in One Spatial Dimension
cites work: Spiky and transition layer steady states of chemotaxis systems via global bifurcation and Helly's compactness theorem
cites work: An eigenvalue problem arising from spiky steady states of a minimal chemotaxis model
DOI: 10.3934/DCDS.2017046
description: scientific article; zbMATH DE number 6672801