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The generalized two-dimensional (2D) parabolic equation is considered. Existence of the global attractor is proven on a channel like domain. If the vector field is zero then the equation reduces to the 2D Navier–Stokes–Voight equation for which the existence of global attractor is proven in [A.O. Celebi, V.K. Kalantarov, M. Polat, Existence of Attractors for 2D Navier–Stokes–Voight equation in an Unbounded Domain, Submitted].
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