Abstract
We establish some regularity criteria for the incompressible Navier-Stokes equations in a bounded three-dimensional domain concerning the quotients of the pressure, the velocity field and the pressure gradient.
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Acknowledgements
The authors thank the referees for their comments on the initial version of this paper. Guo is partially support by Zhejiang Provincial Natural Science Foundation of China under Grant No. Q12A010047, the SSSTC Project (No. EG19-032009), the Swiss National Science Foundation under Grant No. 200021-124403 and National Natural Science Foundation of China, No. 11171257, Wittwer is supported by the Swiss National Science Foundation under Grant No. 200021-124403, Wang is partially supported by Zhejiang Provincial Natural Science Foundation of China under Grant No. R1110261 and Y12A010041.
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Guo, Z., Wittwer, P. & Wang, W. Regularity Issue of the Navier-Stokes Equations Involving the Combination of Pressure and Velocity Field. Acta Appl Math 123, 99–112 (2013). https://doi.org/10.1007/s10440-012-9717-z
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DOI: https://doi.org/10.1007/s10440-012-9717-z