Critical Finite‐Time Blow‐Up Line in a Two‐Species Quasilinear Chemotaxis System With Two Chemicals
Ziyue Zeng, Yuxiang Li
Source abstract
ABSTRACT In this study, we explore the quasilinear two‐species chemotaxis system with two chemicals where () is a smooth bounded domain. The functions and exhibit asymptotic behavior of the form We prove that when is a ball, if and , there exist radially symmetric initial data and , such that the corresponding solutions blow up in finite time; for any general smooth bounded domain , if , all solutions are global. The result in [X. Huang and H. Zhong, Blow‐up curve for a quasilinear two‐species chemotaxis system with two chemicals in higher dimension, Mathematical Methods in the Applied Sciences, 2026] implies that all solutions are globally bounded when Combining these results, we point out that the system () possesses two critical lines and to classify three dynamics among global boundedness, finite‐time blow‐up, and global existence of solutions to system ().
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.