Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 26 February 2019Accepted: 28 December 2020Published online: 13 April 2021KeywordsPatlak--Keller--Segel model, free boundary motion, congested phenomena, steady-state solution, Barenblatt solutionAMS Subject Headings35A01, 35B40, 35R35Publication DataISSN (print): 0036-1410ISSN (online): 1095-7154Publisher: Society for Industrial and Applied MathematicsCODEN: sjmaah