L. I. Sazonov, “On the stability of bounded solutions to the Navier–Stokes equations in the whole space”, Vladikavkaz. Mat. Zh., 2015, Volume 17, Number 4,Pages <nobr>67

On the stability of bounded solutions to the Navier–Stokes equations in the whole space

L. I. Sazonov^ab

^a Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences, Vladikavkaz, Russia
^b Southern Federal University, Rostov-on-Don, Russia

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

Key words: Navier–Stokes system, bounded solution, stability, space of solenoidal fields.

UDC: 517.95

Received: 23.03.2015