Zh. Vychisl. Mat. Mat. Fiz., 2013 Volume 53, Number 9, Pages 1555–1568
(Mi zvmmf9921)
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2 papers
Existence of transitions between stationary regimes of the Navier–Stokes equations in the entire space
L. I. Sazonovab 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
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