Strong damping effect of chemo-repulsion prevents blow-up
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Publication:4987865
DOI10.1063/5.0032829zbMath1466.92018OpenAlexW3144718523MaRDI QIDQ4987865
Publication date: 4 May 2021
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/5.0032829
chemotaxisboundedness of solutionschemoattractionchemorepulsionnonlinear signal productionnonlinear sensitivity function
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)
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Cites Work
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- Global existence and convergence to steady states for an attraction-repulsion chemotaxis system
- Global dynamics in a higher-dimensional repulsion chemotaxis model with nonlinear sensitivity
- Finite-time blowup and global-in-time unbounded solutions to a parabolic-parabolic quasilinear Keller-Segel system in higher dimensions
- Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces
- Boundedness of solutions to a fully parabolic Keller-Segel system with nonlinear sensitivity
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Initiation of slime mold aggregation viewed as an instability
- Boundedness, blowup and critical mass phenomenon in competing chemotaxis
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- A user's guide to PDE models for chemotaxis
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Positive effects of repulsion on boundedness in a fully parabolic attraction-repulsion chemotaxis system with logistic source
- How strong a logistic damping can prevent blow-up for the minimal Keller-Segel chemotaxis system?
- Global classical solvability and generic infinite-time blow-up in quasilinear Keller-Segel systems with bounded sensitivities
- Global existence and boundedness in a chemorepulsion system with superlinear diffusion
- Parabolic system of chemotaxis: Blowup in a finite and the infinite time.
- New critical exponents in a fully parabolic quasilinear Keller-Segel system and applications to volume filling models
- Boundedness and global existence in the higher-dimensional parabolic -- parabolic chemotaxis system with/without growth source
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Boundedness in a chemotaxis system with nonlinear signal production
- Boundedness of solutions to a quasilinear parabolic-parabolic chemotaxis model with nonlinear signal production
- On the global existence of solutions to an aggregation model
- Finite-time blowup in a supercritical quasilinear parabolic-parabolic Keller-Segel system in dimension 2
- Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains
- Boundedness vs. blow-up in a chemotaxis system
- Blow-up in a chemotaxis model without symmetry assumptions
- A semilinear parabolic–elliptic chemotaxis system with critical mass in any space dimension
- Travelling plateaus for a hyperbolic Keller–Segel system with attraction and repulsion: existence and branching instabilities
- Does a ‘volume-filling effect’ always prevent chemotactic collapse?
- A critical blow-up exponent in a chemotaxis system with nonlinear signal production
- Chemotactic Aggregation versus Logistic Damping on Boundedness in the 3D Minimal Keller--Segel Model
- COMPETING EFFECTS OF ATTRACTION VS. REPULSION IN CHEMOTAXIS
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- Dominance of chemotaxis in a chemotaxis–haptotaxis model
- Some remarks on well-posedness of the higher-dimensional chemorepulsion system
- Eventual Smoothness and Exponential Stabilization of Global Weak Solutions to Some Chemotaxis Systems
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues