We study a two-dimensional chemotaxis-fluid system in a bounded convex domain with smooth boundary under no-flux boundary conditions for bacterial density and oxygen concentration and no-slip boundary condition for fluid velocity. A global existence result of classical solutions is established for large initial data with possibly singular chemotactic sensitivity and super-linear consumption rate.
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Authors greatly appreciate valuable comments and suggestions of anonymous reviewers of this paper. Jaewook Ahn's work is supported by NRF 2018R1D1A1B07047465. Kyungkeun Kang's work is partially supported by 2019R1A2C1084685 and 2015R1A5A1009350. Changwook Yoon's work is supported by 2017R1D1A1B03031035.
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