Uniform attractors for nonautonomous incompressible non-Newtonian fluid with locally uniform integrable external forces
2006
This paper discusses the long time behavior of solutions for a two-dimensional (2D) nonautonomous incompressible non-Newtonian fluid in 2D bounded domains. When the external force g0(x,t) is locally uniform integrable (see Definition 1.1) in Lloc2(R;H), the authors obtain the existence and structure of uniform attractors in space V for the family of processes associated with the fluid. Moreover, when ∥g0∥Lb2 is properly small, they provide some interesting corollaries.
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