Uniform attractor for a two-dimensional nonautonomous incompressible non-Newtonian fluid

作者：Zhao Caidi^*; Zhou Shengfan; Li Yongsheng

来源：Applied Mathematics and Computation, 2008, 201(1-2): 688-700.

DOI：10.1016/j.amc.2008.01.005

• uniform attractor
• incompressible non-Newtonian fluid
• nonautonomous equations
• skew product flow

We discuss the long time behavior of solutions for a two-dimensional (2D) nonautonomous incompressible non-Newtonian fluid in 2D bounded domains. When the external force g(0)(x, t) is translation compact (tr.c.) in L(loc)(2)(R; H), we obtain the existence and reveal the structure of the uniform attractor for the processes associated to the fluid by constructing skew product flow on the extended phase space. When kg parallel to g(0)parallel to L(b)(2) is properly small, we establish that there exists a unique bounded asymptotically stable solution to the fluid.

• 出版日期2008-7-15
• 单位上海师范大学; 温州大学; 华南理工大学