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Keywords:
global existence; axisymmetric solution; chemotaxis; Navier-Stokes equations
Summary:
We consider Cauchy problem of the 3D incompressible chemotaxis-Navier-Stokes equations with partial diffusion. By the Fourier localization technique and the geometry structure of axisymmetric flow without swirl, we obtain the global-in-time existence of weak solutions for this system.
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