The relation between stationary and periodic solutions of the Navier-Stokes equations in two or three dimensional channels
Kobayashi, Teppei
J. Math. Kyoto Univ., Tome 49 (2009) no. 1, p. 307-323 / Harvested from Project Euclid
In this paper we will consider whether there exists a time periodic solution of the Navier-Stokes equations for infinite channels in $\mathbb{R}^n(n=2,3)$. H. Beirão da Veiga [4] treated such a problem. This paper is the special case of his paper and we argue the relation between the existence of stationary and time periodic solutions of the Navier-Stokes equations.
Publié le : 2009-05-15
Classification:  35Q30,  76D05
@article{1256219158,
     author = {Kobayashi, Teppei},
     title = {The relation between stationary and periodic solutions of the Navier-Stokes equations in two or three dimensional channels},
     journal = {J. Math. Kyoto Univ.},
     volume = {49},
     number = {1},
     year = {2009},
     pages = { 307-323},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1256219158}
}
Kobayashi, Teppei. The relation between stationary and periodic solutions of the Navier-Stokes equations in two or three dimensional channels. J. Math. Kyoto Univ., Tome 49 (2009) no. 1, pp.  307-323. http://gdmltest.u-ga.fr/item/1256219158/