Uniform Attractors for the Kelvin–Voigt Model Taking into
Account Memory along Fluid Motion Trajectories
摘要
Abstract
The paper is devoted to the study of the qualitative behavior of solutions for theKelvin–Voigt model taking into account memory along fluid motion trajectories. Namely, basedon the theory of attractors of noninvariant trajectory spaces, for the model under consideration inthe nonautonomous case the existence of a uniform trajectory and a uniform global attractor isproved under certain conditions on the coefficients.