The Navier-Stokes-α equations subject to the periodic boundary conditions are considered. Analyticity in time for a class of solutions taking values in a Gevrey class of functions is proven. Exponential decay of the spatial Fourier spectrum for the analytic solutions and the lower bounds on the rate defined by the exponential decay are also obtained.
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Yu, Yj., Li, Kt. & Huang, Ax. Gevrey Class Regularity and Exponential Decay Property for Navier-Stokes-α Equations. Acta Mathematicae Applicatae Sinica, English Series 23, 49–58 (2007). https://doi.org/10.1007/s10255-006-0348-x
- Gevrey class regularity
- Navier-Stokes-α equations
- exponential decay
2000 MR Subject Classification