Asymptotic stability and the hair-trigger effect in Cauchy problem of the parabolic-parabolic Keller-Segel system with logistic source

DOI10.3934/dcdss.2023092zbMath1541.35052MaRDI QIDQ6546773

Jing Li, Jingxue Yin, De-Ji-Xiang-Mao

Publication date: 30 May 2024

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

zbMATH Keywords

asymptotic stabilityglobal boundednesslogistic sourceparabolic-parabolic Keller-Segel systemhair-trigger effect\( L^p-L^q\) estimates

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order parabolic systems (35K45) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59)

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