| Volume 8, Number 3, 2018, Pages 954-964 DOI：10.11948/2018.954 |
| Determining nodes of the global attractor for an incompressible non-Newtonian fluid |
| Caidi Zhao,Yanjiao Li,Mingshu Zhang |
| Keywords:Incompressible non-Newtonian fluid, determining nodes, global attractor, asymptotic behavior. |
| Abstract: |
| This paper estimates the finite number of the determining nodes to the equations for an incompressible non-Newtonian fluid with space-periodic or no-slip boundary conditions. The authors prove that, whenever the second order derivatives of two different solutions within the global attractor have the same time-asymptotic behavior at finite number of points in the physical space, then the two solutions possess the same time-asymptotic behavior at almost everywhere points of the physical space. |
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