Local and some type of large solutions for the chemotaxis-fluid equations with partial dissipation

DOI10.1016/j.na.2021.112746zbMath1483.35004OpenAlexW4200483409WikidataQ114146020 ScholiaQ114146020MaRDI QIDQ2074922

Xiaonan Hao, Qiong Lei Chen

Publication date: 11 February 2022

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2021.112746

zbMATH Keywords

well-posednesschemotaxis-Navier-Stokes equationscritical weighted Besov spacesharmonic analysis toolslocalization technique in Fourier spaces

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

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