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Abstract
Using some well knew techniques to analyze the existence of weak solutions for the NavierStokes equations, we study several topics related with the long time behavior of solutions of an abstract class of evolutions equations in a separable Hilbert space, which generalizes several models of fluids mechanic. In particular we study the existence and uniqueness of weak solutions, as well as the existence of a global attractor and the convergence of solutions to the asso ciated steady solutions.
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