- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:44
Revista Matemática Iberoamericana
Rev. Mat. Iberoamericana
RMI
0213-2230
2235-0616
General
10.4171/RMI
http://www.ems-ph.org/doi/10.4171/RMI
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2012)
20
2004
1
Asymptotic behavior of the energy and pointwise estimates for solutions to the Navier-Stokes equations
Lorenzo
Brandolese
Université Lyon 1, VILLEURBANNE CEDEX, FRANCE
Navier–Stokes equations, time decay, space decay, symmetric solutions
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 $t^{-(n+2)/4}$.
Fluid mechanics
Partial differential equations
Fourier analysis
General
223
256
10.4171/RMI/387
http://www.ems-ph.org/doi/10.4171/RMI/387