Global existence of weak solutions for the 3D chemotaxis-Navier-Stokes equations

DOI10.1016/j.nonrwa.2016.11.006zbMath1356.35091OpenAlexW2560636520MaRDI QIDQ505231

Haibin He, Qian Zhang

Publication date: 19 January 2017

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2016.11.006

zbMATH Keywords

Zygmund spaces

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17)

Related Items (10)

Large time behavior in a fractional chemotaxis-Navier-Stokes system with competitive kinetics ⋮ Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion ⋮ Global well-posedness of axisymmetric solution to the 3D axisymmetric chemotaxis-Navier-Stokes equations with logistic source ⋮ Global weak solutions to a 3-dimensional degenerate and singular chemotaxis-Navier-Stokes system with logistic source ⋮ Existence, uniqueness and decay estimates on mild solutions to fractional chemotaxis-fluid systems ⋮ Global well-posedness for the 2D chemotaxis-fluid system with logistic source ⋮ Low modes regularity criterion for a chemotaxis-Navier-Stokes system ⋮ Large time behavior in a fractional chemotaxis-Navier-Stokes system with logistic source ⋮ Local and some type of large solutions for the chemotaxis-fluid equations with partial dissipation ⋮ Global Fujita-Kato's type solutions and long-time behavior for the multidimensional chemotaxis model

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