Spiky steady states of a chemotaxis system with singular sensitivity
From MaRDI portal
Publication:1616376
DOI10.1007/s10884-017-9621-3zbMath1401.92019OpenAlexW2763666984MaRDI QIDQ1616376
Publication date: 6 November 2018
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-017-9621-3
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Bifurcations in context of PDEs (35B32) Cell movement (chemotaxis, etc.) (92C17)
Related Items
Stability, free energy and dynamics of multi-spikes in the minimal Keller-Segel model, Global and exponential attractor of the repulsive Keller–Segel model with logarithmic sensitivity, Existence of monotone positive solutions of a neighbour based chemotaxis model and aggregation phenomenon, Radial spiky steady states of a flux‐limited Keller–Segel model: Existence, asymptotics, and stability, A refined asymptotic result of one-dimensional flux limited Keller–Segel models, Stationary Ring and Concentric-Ring Solutions of the Keller--Segel Model with Quadratic Diffusion
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A study on the positive nonconstant steady states of nonlocal chemotaxis systems
- Pattern formation of the attraction-repulsion Keller-Segel system
- On a chemotaxis model with saturated chemotactic flux
- On the steady state of a shadow system to the SKT competition model
- Boundedness in a fully parabolic chemotaxis system with singular sensitivity
- Global weak solutions in a chemotaxis system with large singular sensitivity
- Stability of spiky solution of Keller-Segel's minimal chemotaxis model
- Initiation of slime mold aggregation viewed as an instability
- Model for chemotaxis
- A user's guide to PDE models for chemotaxis
- On global bifurcation for quasilinear elliptic systems on bounded domains
- Large amplitude stationary solutions to a chemotaxis system
- Nonlinear aspects of chemotaxis
- Degree theory for \(C^1\) Fredholm mappings of index 0
- Locating the peaks of least-energy solutions to a semilinear Neumann problem
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II
- Multiple interior peak solutions for some singularly perturbed Neumann problems.
- Mathematics of traveling waves in chemotaxis
- Spiky and transition layer steady states of chemotaxis systems via global bifurcation and Helly's compactness theorem
- Multiple boundary peak solutions for some singularly perturbed Neumann problems
- Boundedness in a fully parabolic chemotaxis system with strongly singular sensitivity
- Bifurcation from simple eigenvalues
- Global existence and boundedness of radial solutions to a two dimensional fully parabolic chemotaxis system with general sensitivity
- Random walk with persistence and external bias
- Global solutions in a fully parabolic chemotaxis system with singular sensitivity
- LPBounds of solutions of reaction-diffusion equations
- Parity and Generalized Multiplicity
- On Multiple Mixed Interior and Boundary Peak Solutions for Some Singularly Perturbed Neumann Problems
- Qualitative Behavior of Solutions of Chemotactic Diffusion Systems: Effects of Motility and Chemotaxis and Dynamics
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
