We consider the Keller–Segel model coupled with the incompressible Navier–Stokes equations in the dimension three. Based on the wellposedness result in the critical Besov spaces, we present a result on the extension criterion for the local in time solution in the same functional setting, which is a new result for the model.
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Acknowledgements We express our sincere gratitude for very helpful and constructive comments of the reviewer. This work was supported by NRF under the grant 20151002708.
© 2016, Università degli Studi di Ferrara.
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