Pullback trajectory attractors for evolution equations and application to 3D incompressible non-Newtonian fluid

作者：Zhao Caidi; Zhou Shengfan

来源：Nonlinearity, 2008, 21(8): 1691-1717.

DOI：10.1088/0951-7715/21/8/002

This paper studies the pullback asymptotic behaviour of trajectories for evolution equations. We first combine the idea of trajectory attractor and pullback attractor to formulate a new type of attractor called pullback trajectory attractor. Then we prove a sufficient condition for the existence of a pullback trajectory attractor for the translation cocycle defined on the united trajectory space of the evolution equations. Finally, we take a three-dimensional incompressible non-Newtonian fluid as the applied example and prove its pullback trajectory asymptotic smoothing effect.

• 出版日期2008-8
• 单位上海师范大学