Asymptotic behavior of solutions to the one-dimensional Keller-Segel system with small chemotaxis

DOI10.3836/TJM/1502179267zbMath1400.35162OpenAlexW2785019731MaRDI QIDQ1989647

Yumi Yahagi

Publication date: 26 October 2018

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1502179267

zbMATH Keywords

large time behaviourKeller-Segel system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Applications of stochastic analysis (to PDEs, etc.) (60H30) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (1)

Construction of unique mild solution and continuity of solution for the small initial data to 1-D Keller-Segel system

Cites Work

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• Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces
• Initiation of slime mold aggregation viewed as an instability
• A user's guide to PDE models for chemotaxis
• Elliptic partial differential equations of second order
• Global dynamics and diffusion limit of a one-dimensional repulsive chemotaxis model
• Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening
• Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues

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