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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.
Received: 25.10.2011 Revised: 15.04.2013
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
Linking options:
https://www.mathnet.ru/eng/zvmmf9921 https://www.mathnet.ru/eng/zvmmf/v53/i9/p1555
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Abstract page: | 385 | Full-text PDF : | 65 | References: | 68 | First page: | 21 |
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