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Gevrey Class Regularity and Exponential Decay Property for Navier-Stokes-α Equations

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Abstract

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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Authors and Affiliations

  1. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China

    Yong-jiang Yu

  2. Department of Mathematics, Xi'an Jiaotong University, Xi'an 710049, China

    Yong-jiang Yu, Kai-tai Li & Ai-xiang Huang

Authors
  1. Yong-jiang Yu
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  2. Kai-tai Li
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  3. Ai-xiang Huang
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Correspondence to Yong-jiang Yu.

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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

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  • DOI: https://doi.org/10.1007/s10255-006-0348-x

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