On the critical mass Patlak-Keller-Segel system for multi-species populations: global existence and infinte time aggregation

DOI10.1512/iumj.2022.71.9188OpenAlexW4313452069MaRDI QIDQ5870031

Debabrata Karmakar, Gershon Wolansky

Publication date: 13 January 2023

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.10132

zbMATH Keywords

critical massminimizing movement schemePatlak-Keller-Segel systeminfinite time aggregationmulti-species chemotaxis

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order parabolic equations (35K15) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44)

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