Global Fujita-Kato's type solutions and long-time behavior for the multidimensional chemotaxis model

DOI10.1007/s10114-022-1001-1zbMath1492.35358OpenAlexW4214687811MaRDI QIDQ2115191

Jingyue Li, Xiaonan Hao, Qiong Lei Chen

Publication date: 15 March 2022

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-022-1001-1

zbMATH Keywords

critical Besov spacesglobal well-posednesschemotaxis modeloptimal time-decay rates

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Cell movement (chemotaxis, etc.) (92C17) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35) Initial value problems for systems of nonlinear higher-order PDEs (35G55) Initial value problems for mixed-type systems of PDEs (35M31)

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