A note on the global existence of a two-dimensional chemotaxis-Navier-Stokes system

摘要

In this short note, we establish the global existence of weak solutions and classical solutions to the two-dimensional chemotaxis-Navier-Stokes system for both the Cauchy problem and the initial-boundary value problem under some suitable small conditions on the initial data. In particular, we improve the recent results obtained by Duan-Li-Xiang (J. Differential Equations, 2017).

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