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Zapiski Nauchnykh Seminarov LOMI, 1987, Volume 163, Pages 105–129
(Mi znsl5460)
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This article is cited in 9 scientific papers (total in 10 papers)
Estimates of the fractal dimension and of the number of deterministic modes for invariant sets of dynamical sytsems
O. A. Ladyzhenskaya
Abstract:
Majorants of the fractal dimension and of the number of determining modes for unbounded sets, invariant with respect to operators of semigroups of classes 1 and 2, are obtained. They are computed for the Navier–Stokes equations (two- and three-dimensional) under the first boundary condition and under periodicity conditions in the spaces $H^0\subset\vec L_2(\Omega)$ and $H^1\subset\vec W_2^1(\Omega)$ .
Citation:
O. A. Ladyzhenskaya, “Estimates of the fractal dimension and of the number of deterministic modes for invariant sets of dynamical sytsems”, Boundary-value problems of mathematical physics and related problems of function theory. Part 19, Zap. Nauchn. Sem. LOMI, 163, "Nauka", Leningrad. Otdel., Leningrad, 1987, 105–129
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https://www.mathnet.ru/eng/znsl5460 https://www.mathnet.ru/eng/znsl/v163/p105
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