Time-periodic solutions to the Navier-Stokes equations in the three-dimensional whole-space with a non-zero drift term: Asymptotic profile at spatial infinity
Analysis of PDEs
2016-10-04 v1
Abstract
An asymptotic expansion at spatial infinity of a weak time-periodic solution to the Navier-Stokes equations with a non-zero drift term in the three-dimensional whole-space is carried out. The asymptotic profile is explicitly identified and expressed in terms of the well-known Oseen fundamental solution. A pointwise estimate is given for the remainder term.
Keywords
Cite
@article{arxiv.1610.00677,
title = {Time-periodic solutions to the Navier-Stokes equations in the three-dimensional whole-space with a non-zero drift term: Asymptotic profile at spatial infinity},
author = {Giovanni P. Galdi and Mads Kyed},
journal= {arXiv preprint arXiv:1610.00677},
year = {2016}
}