Boundedness and finite-time blow-up in a chemotaxis system with nonlinear signal production
From MaRDI portal
Publication:2025392
DOI10.1016/j.nonrwa.2020.103237zbMath1468.35218OpenAlexW3107849927MaRDI QIDQ2025392
Publication date: 14 May 2021
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2020.103237
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Initial-boundary value problems for mixed-type systems of PDEs (35M33)
Related Items (7)
Global boundedness in a 2D chemotaxis-Navier–Stokes system with flux limitation and nonlinear production ⋮ Critical mass for Keller–Segel systems with supercritical nonlinear sensitivity ⋮ Properties of given and detected unbounded solutions to a class of chemotaxis models ⋮ Blow-Up and Boundedness in Quasilinear Parabolic-Elliptic Chemotaxis System with Nonlinear Signal Production ⋮ Boundedness and finite-time blow-up in a quasilinear parabolic-elliptic chemotaxis system with logistic source and nonlinear production ⋮ On a quasilinear fully parabolic attraction or repulsion chemotaxis system with nonlinear signal production ⋮ Boundedness of solutions in a quasilinear chemo-repulsion system with nonlinear signal production
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finite-time blowup and global-in-time unbounded solutions to a parabolic-parabolic quasilinear Keller-Segel system in higher dimensions
- Boundedness and blow-up for a chemotaxis system with generalized volume-filling effect and logistic source
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Initiation of slime mold aggregation viewed as an instability
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- Boundedness and finite-time collapse in a chemotaxis system with volume-filling effect
- Hölder continuity of the gradient of solutions of uniformly parabolic equations with conormal boundary conditions
- Finite-time blow-up for quasilinear degenerate Keller-Segel systems of parabolic-parabolic type
- A blow-up result for a quasilinear chemotaxis system with logistic source in higher dimensions
- 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
- Finite-time blow-up in quasilinear parabolic-elliptic chemotaxis system with nonlinear signal production
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases
- On the global existence of solutions to an aggregation model
- 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
- Finite-time blow-up in a quasilinear system of chemotaxis
- Does a ‘volume-filling effect’ always prevent chemotactic collapse?
- On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
- Global Behaviour of a Reaction-Diffusion System Modelling Chemotaxis
- A critical blow-up exponent in a chemotaxis system with nonlinear signal production
- Global existence of solutions to a chemotaxis system with volume filling effect
- Boundedness in a quasilinear fully parabolic Keller-Segel system with logistic source
This page was built for publication: Boundedness and finite-time blow-up in a chemotaxis system with nonlinear signal production
