On analyticity rate estimates of the solutions to the Navier-Stokes equations in Bessel-potential spaces

[摘要] On this paper spatial analyticity of solutions to the nonstationary incompressive Navier-Stokes flow in Hn/2-1 (R-n) is established. The proof is based on the estimates for the higher order derivatives of solutions. These estimates imply not only the regularizing rates near t = 0 but also decaying rates at t -> infinity, as long as the solution exists. Although basic strategy is similar to our previous work with Giga for L-n space, one can make the proof short using several tools from harmonic analysis. (c) 2005 Elsevier Inc. All rights reserved.

[发布日期] 2005-12-01

[关键词] Navier-Stokes equations;spatial analyticity;regularizing-decay rate;Bessel-potential space;Gronwall inequality