Uniform attractors for the Kelvin—Voigt model taking into account memory along fluid motion trajectories

The paper is devoted to the study of the qualitative behavior of solutions for the Kelvin—Voigt model taking into account memory along fluid motion trajectories. Namely, based on the theory of attractors of noninvariant trajectory spaces, for the model under consideration in the nonautonomous case the existence of a uniform trajectory and a uniform global attractor is proved under certain conditions on the coefficients.