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March, 2004 Asymptotic behavior of the energy and pointwise estimates for solutions to the Navier-Stokes equations
Lorenzo Brandolese
Rev. Mat. Iberoamericana 20(1): 223-256 (March, 2004).

Abstract

We study the large time behavior of the energy of a class of Navier-Stokes flows in $\mathbb{R}^n$ $(n\ge2)$ with special symmetries. Inside this class, we construct examples of solutions such that the energy norm decays faster than $t^{-(n+2)/4}$.

Citation

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Lorenzo Brandolese. "Asymptotic behavior of the energy and pointwise estimates for solutions to the Navier-Stokes equations." Rev. Mat. Iberoamericana 20 (1) 223 - 256, March, 2004.

Information

Published: March, 2004
First available in Project Euclid: 2 April 2004

zbMATH: 1057.35026
MathSciNet: MR2076779

Subjects:
Primary: 35B40 , 35Q30 , ‎42C40 , 76D05

Keywords: Navier-Stokes equations , space decay , symmetric solutions , time decay

Rights: Copyright © 2004 Departamento de Matemáticas, Universidad Autónoma de Madrid

Vol.20 • No. 1 • March, 2004
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