DETERMINING NODES OF THE GLOBAL ATTRACTOR FOR AN INCOMPRESSIBLE NON-NEWTONIAN FLUID

Caidi Zhao; Yanjiao Li Mingshu Zhang

doi:10.11948/2018.954

2018 Volume 8 Issue 3

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Caidi Zhao, Yanjiao Li Mingshu Zhang. DETERMINING NODES OF THE GLOBAL ATTRACTOR FOR AN INCOMPRESSIBLE NON-NEWTONIAN FLUID[J]. Journal of Applied Analysis & Computation, 2018, 8(3): 954-964. doi: 10.11948/2018.954

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Caidi Zhao, Yanjiao Li Mingshu Zhang. DETERMINING NODES OF THE GLOBAL ATTRACTOR FOR AN INCOMPRESSIBLE NON-NEWTONIAN FLUID[J]. Journal of Applied Analysis & Computation, 2018, 8(3): 954-964. doi: 10.11948/2018.954

DETERMINING NODES OF THE GLOBAL ATTRACTOR FOR AN INCOMPRESSIBLE NON-NEWTONIAN FLUID

Department of Mathematics, Wenzhou University, Wenzhou, Zhejiang, 325035, China

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Abstract

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.
- Incompressible non-Newtonian fluid /
- determining nodes /
- global attractor /
- asymptotic behavior
MSC: 35B40;35Q35;76D05

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