Pullback Asymptotic Behavior Of A Non-Newtonian Fluid With Delays On Two-Dimensional Unbounded Domains

Fluid mechanics is applied widely in physics, biology, atmospheric, oceanic science and aerospace industry and other fields. Non-Newtonian fluid mechanics is an important branch of modern fluid mechanics. This master thesis mainly proves that the non-Newtonian flow equations with delays possess the properties; the well-posedness of solutions, the exis-tence, regularity, boundedness, tempered behavior and upper semicon-tinuity of pullback attractors.The thesis is arranged as follows:The first chapter introduces the background of the non-Newtonian flow equations and the issues addressed in this thesis.The second chapter proves the existence, uniqueness, as well as the continuity on initial values of the solutions.The third chapter proves the existence of the pullback attractors in space EH2.The fourth chapter proves the existence of the pullback attractors in space Ev2.The fifth chapter researches the regularity, H4boundedness and tempered behavior of the pullback attractors.The sixth chapter investigates the upper semicontinuity of the pull-back attractors with respect to the spatial domain.The seventh chapter summaries the thesis briefly.