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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2000 Volume 271, Pages 114–121 (Mi znsl1351)

On attraktors for $\varepsilon$-approximations of equations described non-Newtonian flows

N. A. Karazeeva

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: We prove the existence of minimal global $B$-attractors for $\varepsilon$-approximations of equations decribed 2-dimensional Oldroyd flows and 3-dimensional Kelvin-Voight flows. In both cases the attractors are compact finite dimensional connected sets.

UDC: 517

Received: 13.11.2000


 English version:
Journal of Mathematical Sciences (New York), 2003, 115:6, 2766–2770

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© Steklov Math. Inst. of RAS, 2024