Boundary spike‐layer solutions of the singular Keller–Segel system: existence and stability

DOI10.1112/plms.12319zbMath1464.35013arXiv1908.07485OpenAlexW3021367974MaRDI QIDQ4988403

Zhi-An Wang, Jingyu Li, José Antonio Carrillo

Publication date: 14 May 2021

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.07485

zbMATH Keywords

weighted energy estimatesCole-Hopf type transformationlogarithmic singular sensitivity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Cell movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for second-order parabolic systems (35K51)

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