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Vladikavkazskii Matematicheskii Zhurnal, 2010, Volume 12, Number 3, Pages 56–66
(Mi vmj184)
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This article is cited in 5 scientific papers (total in 5 papers)
On correlation of two solution classes of Navier–Stokes equation
V. B. Levenshtamab a South Mathematical Institute of VSC RAS, Russia, Vladikavkaz
b Southern Federal University, Faculty of Mathematics, Mechanics and Computer Sciences, Russia, Rostov-on-Don
Abstract:
We consider an initial boundary value problem for Navier–Stokes equation with mass power polinomial depend on unknown (velocity). We introduce for it the definitions of solution and generalized solution and we derive the conditions, under with a generalized solution is a solution.
Key words:
Navier–Stokes equation, solution, generalized solution.
Received: 14.09.2009
Citation:
V. B. Levenshtam, “On correlation of two solution classes of Navier–Stokes equation”, Vladikavkaz. Mat. Zh., 12:3 (2010), 56–66
Linking options:
https://www.mathnet.ru/eng/vmj184 https://www.mathnet.ru/eng/vmj/v12/i3/p56
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