Global Well-Posedness and Pullback Attractors for an Incompressible Non-Newtonian Fluid with Infinite Delays

详细信息    查看全文

• 作者：Caidi Zhao ; Guowei Liu ; Rong An
• 关键词：Non ; Newtonian fluid ; Infinite delays ; Global well ; posedness ; Pullback attractor
• 刊名：Differential Equations and Dynamical Systems
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：25
• 期：1
• 页码：39-64
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics, general; Engineering, general; Computer Science, general;
• 出版者：Springer India
• ISSN：0974-6870
• 卷排序：25

文摘

This paper studies a two-dimensional incompressible non-Newtonian fluid with infinite delays. The authors first prove the global well-posedness of the solutions and then establish the existence of the pullback \(\mathcal {D}\)-attractor for a universe which is composed of time-dependent families under some suitable assumptions.