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Communications in Mathematical Sciences
Volume 21 (2023)
Number 4
Global existence for quasilinear degenerate two-species chemotaxis system with small initial data
Pages: 967 – 996
DOI: https://dx.doi.org/10.4310/CMS.2023.v21.n4.a4
Author
Abstract
This article is devoted to the analysis of quasilinear degenerate chemotaxis system with two-species in dimension $d \geq 3$. The global existence of weak solution to the chemotaxis system with small initial data is proved for the super-critical case in both parabolic-elliptic and fully parabolic types.
Keywords
degenerate parabolic system, chemotaxis, global existence
2010 Mathematics Subject Classification
35A01, 35K65, 92C17
Received 11 June 2021
Received revised 2 August 2022
Accepted 30 August 2022
Published 24 March 2023