L. I. Sazonov, “Existence of transitions between stationary regimes of the Navier–Stokes equations in the entire space”, Zh. Vychisl. Mat. Mat. Fiz., 2013, Volume 53, Number 9,Pages <nobr>1555

Existence of transitions between stationary regimes of the Navier–Stokes equations in the entire space

L. I. Sazonov^ab

^a Southern Federal University, ul. B. Sadovaya 105/42, Rostov-on-Don, 344006, Russia
^b Southern Institute of Mathematics, Vladikavkaz Scientific Center, Russian Academy of Sciences, ul. Markusa 22, Vladikavkaz, 362027, Republic of North Ossetia-Alania, Russia

Abstract: The Navier–Stokes equations are considered in the entire space. It is shown that they have a solution that links two stable steady flows.

Key words: Navier–Stokes equations, Oseen semigroup, perturbed Oseen semigroup, transitions between stationary regimes of the Navier–Stokes equations.

UDC: 519.634

Received: 25.10.2011
Revised: 15.04.2013

DOI: 10.7868/S0044466913090135