Global solutions to the chemotaxis-Navier-Stokes equations with some large initial data

DOI10.3934/dcds.2017122zbMath1358.35214OpenAlexW2590354866MaRDI QIDQ514030

Xiaoping Zhai, Zhaoyang Yin

Publication date: 8 March 2017

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2017122

zbMATH Keywords

Besov spacesglobal wellposednessThe chemotaxis-Navier-Stokes equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) KdV equations (Korteweg-de Vries equations) (35Q53) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17)

Related Items (3)

Global solutions and large time behavior for the chemotaxis-shallow water system ⋮ Global well-posedness for the MHD-Boussinesq system with the temperature-dependent viscosity ⋮ Large time behavior in a fractional chemotaxis-Navier-Stokes system with logistic source

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