Geodesic
On the stability of bounded solutions to the Navier–Stokes equations in the whole space
Vladikavkazskij matematičeskij žurnal, Tome 17 (2015) no. 4, pp. 67-74 
L. I. Sazonov. On the stability of bounded solutions to the Navier–Stokes equations in the whole space. Vladikavkazskij matematičeskij žurnal, Tome 17 (2015) no. 4, pp. 67-74. http://geodesic.mathdoc.fr/item/VMJ_2015_17_4_a5/
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     author = {L. I. Sazonov},
     title = {On the stability of bounded solutions to the {Navier{\textendash}Stokes} equations in the whole space},
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Voir la notice de l'article provenant de la source Math-Net.Ru

Stability in the whole space of bounded solutions to the Navier–Stokes system is considered. Preliminarily, the existence of such solutions is studied.

[1] Sazonov L. I., “Obosnovanie metoda linearizatsii v zadache obtekaniya”, Izv. RAN. Ser. mat., 58:5 (1994), 85–109 | MR | Zbl

[2] Sazonov L. I., “Ob ustoichivosti periodicheskikh reshenii sistemy Nave–Stoksa v trekhmernoi vneshnei oblasti”, Izv. RAN. Ser. mat., 67:4 (2003), 155–170 | DOI | MR | Zbl