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Determining nodes of the global attractor for an incompressible non-Newtonian fluid
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 di erent 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.