Finite-time blow-up criterion for a competing chemotaxis system

DOI10.3934/dcdsb.2024028zbMATH Open1546.3502MaRDI QIDQ6587543

Sheng Wang, Ke Lin

Publication date: 14 August 2024

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

zbMATH Keywords

blow-upchemotaxisLyapunov functionalattraction-repulsion

Mathematics Subject Classification ID

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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Chemotactic signaling, microglia, and Alzheimer's disease senile plaques: Is there a connection?
• Blow-up of nonradial solutions to attraction-repulsion chemotaxis system in two dimensions
• Boundedness and blow up in the higher-dimensional attraction-repulsion chemotaxis system with nonlinear diffusion
• Finite time blow-up of nonradial solutions in an attraction-repulsion chemotaxis system
• Boundedness of the attraction-repulsion Keller-Segel system
• Well-posedness for a model derived from an attraction-repulsion chemotaxis system
• Large time behavior of the full attraction-repulsion Keller-Segel system in the whole space
• Application of an Adams type inequality to a two-chemical substances chemotaxis system
• Free energy and self-interacting particles
• 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
• Global existence of solutions to the Cauchy problem for an attraction-repulsion chemotaxis system in \(\mathbb{R}^2\) in the attractive dominant case
• Finite-time blow-up in the three-dimensional fully parabolic attraction-dominated attraction-repulsion chemotaxis system
• Boundedness and finite-time blow-up in a quasilinear parabolic-elliptic-elliptic attraction-repulsion chemotaxis system
• Global existence of solutions to the Cauchy problem of a two dimensional attraction-repulsion chemotaxis system
• Global stabilization of the full attraction-repulsion Keller-Segel system
• Finite-time blowup in Cauchy problem of parabolic-parabolic chemotaxis system
• Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
• Large-time behavior of an attraction-repulsion chemotaxis system
• Global existence of solutions to a parabolic attraction-repulsion chemotaxis system in \(\mathbb{R}^2\): the attractive dominant case
• Blow-up in a chemotaxis model without symmetry assumptions
• Global boundedness in a fully parabolic attraction–repulsion chemotaxis model
• Does a ‘volume-filling effect’ always prevent chemotactic collapse?
• Stabilization in a higher-dimensional attraction–repulsion chemotaxis system if repulsion dominates over attraction
• Multi-components chemotactic system in the absence of conflicts
• COMPETING EFFECTS OF ATTRACTION VS. REPULSION IN CHEMOTAXIS
• Criterion on Initial Energy for Finite-time Blowup in Parabolic-parabolic Keller--Segel System
• Chemotactic collapse in a parabolic system of mathematical biology
• Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains
• Chemotactic collapse in a parabolic-elliptic system of mathematical biology

This page was built for publication: Finite-time blow-up criterion for a competing chemotaxis system