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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 9, Pages 1555–1568
DOI: https://doi.org/10.7868/S0044466913090135
(Mi zvmmf9921)
 

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
References:
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.
Received: 25.10.2011
Revised: 15.04.2013
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 9, Pages 1377–1390
DOI: https://doi.org/10.1134/S096554251309011X
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: L. I. Sazonov, “Existence of transitions between stationary regimes of the Navier–Stokes equations in the entire space”, Zh. Vychisl. Mat. Mat. Fiz., 53:9 (2013), 1555–1568; Comput. Math. Math. Phys., 53:9 (2013), 1377–1390
Citation in format AMSBIB
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    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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