Blow-Up and Boundedness in Quasilinear Parabolic-Elliptic Chemotaxis System with Nonlinear Signal Production

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Sublinear signal production in a two-dimensional Keller-Segel-Stokes system
Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
Initiation of slime mold aggregation viewed as an instability
Volume effects in the Keller--Segel model: energy estimates preventing blow-up
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 in low-dimensional Keller-Segel systems with logistic-type superlinear degradation
Parabolic system of chemotaxis: Blowup in a finite and the infinite time.
Boundedness and finite-time blow-up in a chemotaxis system with nonlinear signal production
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
Boundedness in a chemotaxis system with nonlinear signal production
A chemotaxis-haptotaxis system with haptoattractant remodeling: boundedness enforced by mild saturation of signal production
How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases
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

This page was built for publication: Blow-Up and Boundedness in Quasilinear Parabolic-Elliptic Chemotaxis System with Nonlinear Signal Production