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Attractors of the initial-boundary value problems for the equations of Jeffreys-Oldroyd fluids in domains with smooth and nonsmooth boundaries. (Russian) Zbl 0812.76009

The author considers two-dimensional flow equations for a Jeffreys- Oldroyd fluid. For this system of equations three different boundary conditions are considered and, using a method of Ladyzhenskaya, it is demonstrated that, for each of three studied initial-boundary value problems, there exists a minimal global \(B\)-attractor.
Reviewer: V.A.Sava (Iaşi)

MSC:

76A10 Viscoelastic fluids
35Q35 PDEs in connection with fluid mechanics
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