Incompressible limits of the Patlak-Keller-Segel model and its stationary state
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Publication:6183924
DOI10.1007/s10440-023-00622-1zbMath1530.35081arXiv2203.13709OpenAlexW4388775474WikidataQ129217068 ScholiaQ129217068MaRDI QIDQ6183924
Qingyou He, Perthame, Benoît, Hai-liang Li
Publication date: 4 January 2024
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.13709
free boundaryKeller-Segel systemincompressible limitHele-Shaw problemAronson-Bénilan estimatecomplementarity relation
Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Cell movement (chemotaxis, etc.) (92C17) Integro-partial differential equations (35R09) Quasilinear parabolic equations (35K59)
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