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- W2964191528 abstract "Smooth solutions to the axially symmetric Navier–Stokes equations obey the following maximum principle: ‖ruθ(r,z,t)‖L∞≤‖ruθ(r,z,0)‖L∞. We first prove the global regularity of solutions if ‖ruθ(r,z,0)‖L∞ or ‖ruθ(r,z,t)‖L∞(r≤r0) is small compared with certain dimensionless quantity of the initial data. This result improves the one in Zhen Lei and Qi S. Zhang [10]. As a corollary, we also prove the global regularity under the assumption that |ruθ(r,z,t)|≤|lnr|−3/2, ∀0<r≤δ0∈(0,1/2)." @default.
- W2964191528 created "2019-07-30" @default.
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- W2964191528 date "2016-03-01" @default.
- W2964191528 modified "2023-10-18" @default.
- W2964191528 title "Regularity criterion to the axially symmetric Navier–Stokes equations" @default.
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- W2964191528 doi "https://doi.org/10.1016/j.jmaa.2015.09.088" @default.
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