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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. 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

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.

UDC: 517.9

Received: 15.11.1995


 English version:
Journal of Mathematical Sciences (New York), 1998, 89:1, 988–995

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