Global existence and blow-up in higher-dimensional Patlak-Keller-Segel system for multi populations

Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Dynamic and steady states for multi-dimensional Keller-Segel model with diffusion exponent \(m > 0\)
Generalizing the Keller-Segel model: Lyapunov functionals, steady state analysis, and blow-up results for multi-species chemotaxis models in the presence of attraction and repulsion between competitive interacting species
Global existence in sub-critical cases and finite time blow-up in super-critical cases to degenerate Keller-Segel systems.
Degenerate parabolic equation with critical exponent derived from the kinetic theory. II: Blowup threshold.
Global existence of weak solutions to quasilinear degenerate Keller-Segel systems of parabolic-parabolic type with small data
Initiation of slime mold aggregation viewed as an instability
Critical mass for a Patlak-Keller-Segel model with degenerate diffusion in higher dimensions
Degenerate parabolic equation with critical exponent derived from the kinetic theory: I: Generation of the weak solution
From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
Sharp conditions on global existence and blow-up in a degenerate two-species and cross-attraction system
On Patlak-Keller-Segel system for several populations: a gradient flow approach
A simultaneous blow-up problem arising in tumor modeling
Application of the best constant of the Sobolev inequality to degenerate Keller-Segel models
Mathematical model of macrophage-facilitated breast cancer cells invasion
Global existence and decay properties for a degenerate Keller-Segel model with a power factor in drift term
The logarithmic HLS inequality for systems on compact manifolds
Analysis.
Sharp condition for blow-up and global existence in a two species chemotactic Keller–Segel system in ²
Random walk with persistence and external bias
Remarks on the blowup and global existence for a two species chemotactic Keller–Segel system in²
Multi-species Patlak-Keller-Segel system
Infinite time aggregation for the critical Patlak‐Keller‐Segel model in ℝ²
Simultaneous finite time blow-up in a two-species model for chemotaxis
Multi-components chemotactic system in the absence of conflicts
Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
The 8π‐problem for radially symmetric solutions of a chemotaxis model in the plane
On the critical mass Patlak-Keller-Segel system for multi-species populations: global existence and infinte time aggregation
Global existence for quasilinear degenerate two-species chemotaxis system with small initial data

This page was built for publication: Global existence and blow-up in higher-dimensional Patlak-Keller-Segel system for multi populations