Analyticity and existence of the Keller-Segel-Navier-Stokes equations in critical Besov spaces

DOI10.1515/ans-2017-6046zbMath1397.35186OpenAlexW2803361637MaRDI QIDQ1663691

Minghua Yang, Suying Liu, Zun Wei Fu

Publication date: 22 August 2018

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2017-6046

zbMATH Keywords

Besov spaceglobal solutionNavier-Stokes equationKeller-Segel systemGevrey regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Cell movement (chemotaxis, etc.) (92C17) Harmonic analysis and PDEs (42B37) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

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