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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 226, Pages 109–119 (Mi znsl3725)  
On the estimation of the Hausdorff dimension of the attractor for two-dimensional equations of Oldroyd fluids

N. A. Karazeeva, A. P. Oskolkov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (1182 kB)
Abstract: The minimal global $B$-attractor for a system of equations describing two-dimensional flows of Oldroyd fluids is considered. An asymptotic estimate for the Hausdorff dimension of the attractor is obtained for small values of the viscosity. Bibl. 11 titles.
Received: 15.11.1995
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 89, Issue 1, Pages 988–995
DOI: https://doi.org/10.1007/BF02358536
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: N. A. Karazeeva, A. P. Oskolkov, “On the estimation of the Hausdorff dimension of the attractor for two-dimensional equations of Oldroyd fluids”, Analytical theory of numbers and theory of functions. Part 13, Zap. Nauchn. Sem. POMI, 226, POMI, St. Petersburg, 1996, 109–119; J. Math. Sci. (New York), 89:1 (1998), 988–995
Citation in format AMSBIB
\Bibitem{KarOsk96}
\by N.~A.~Karazeeva, A.~P.~Oskolkov
\paper On the estimation of the Hausdorff dimension of the attractor for two-dimensional equations of Oldroyd fluids
\inbook Analytical theory of numbers and theory of functions. Part~13
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 226
\pages 109--119
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3725}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1433352}
\zmath{https://zbmath.org/?q=an:0898.35054|0895.35059}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 89
\issue 1
\pages 988--995
\crossref{https://doi.org/10.1007/BF02358536}
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