Global and exponential attractor of the repulsive Keller–Segel model with logarithmic sensitivity
From MaRDI portal
Publication:5056752
DOI10.1017/S0956792520000194zbMath1504.35062WikidataQ115562848 ScholiaQ115562848MaRDI QIDQ5056752
Publication date: 8 December 2022
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items
Stability, free energy and dynamics of multi-spikes in the minimal Keller-Segel model, Global and exponential stabilization of morphogenesis models with logarithmic sensitivity and linear degradation, Global boundedness in a two-dimensional chemotaxis system with nonlinear diffusion and singular sensitivity, A repertoire of repulsive Keller–Segel models with logarithmic sensitivity: Derivation, traveling waves, and quasi‐stationary dynamics, The existence and stability of spikes in the one-dimensional Keller-Segel model with logistic growth
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Qualitative analysis of stationary Keller-Segel chemotaxis models with logistic growth
- On a chemotaxis model with saturated chemotactic flux
- Bubbling on boundary submanifolds for the Lin-Ni-Takagi problem at higher critical exponents
- Boundedness in a fully parabolic chemotaxis system with singular sensitivity
- Dynamics of spike in a Keller-Segel's minimal chemotaxis model
- Chemotactic collapse for the Keller-Segel model
- Stability of spiky solution of Keller-Segel's minimal chemotaxis model
- Initiation of slime mold aggregation viewed as an instability
- Model for chemotaxis
- Traveling bands of chemotactic bacteria: a theoretical analysis
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- 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
- Spiky steady states of a chemotaxis system with singular sensitivity
- Multiple interior peak solutions for some singularly perturbed Neumann problems.
- Mathematics of traveling waves in chemotaxis
- Large-time behavior of a parabolic-parabolic chemotaxis model with logarithmic sensitivity in one dimension
- Spiky and transition layer steady states of chemotaxis systems via global bifurcation and Helly's compactness theorem
- Global solutions of a Keller-Segel system with saturated logarithmic sensitivity function
- Boundary spikes of a Keller-Segel chemotaxis system with saturated logarithmic sensitivity
- Time-periodic and stable patterns of a two-competing-species Keller-Segel chemotaxis model: effect of cellular growth
- A generalized solution concept for the Keller-Segel system with logarithmic sensitivity: global solvability for large nonradial data
- Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains
- Boundedness vs. blow-up in a chemotaxis system
- Global existence and steady states of a two competing species Keller-Segel chemotaxis model
- Some global results for nonlinear eigenvalue problems
- Bifurcation from simple eigenvalues
- A new approach toward boundedness in a two-dimensional parabolic chemotaxis system with singular sensitivity
- On the number of interior peak solutions for a singularly perturbed Neumann problem
- Global boundedness in a fully parabolic attraction–repulsion chemotaxis model
- Stationary Solutions of Chemotaxis Systems
- On the shape of least‐energy solutions to a semilinear Neumann problem
- The Debye system: existence and large time behavior of solutions
- Stationary patterns and their selection mechanism of urban crime models with heterogeneous near-repeat victimization effect
- A sufficient condition of sensitivity functions for boundedness of solutions to a parabolic-parabolic chemotaxis system
- On the Role of Mean Curvature in Some Singularly Perturbed Neumann Problems
- Qualitative Behavior of Solutions of Chemotactic Diffusion Systems: Effects of Motility and Chemotaxis and Dynamics
- Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities
