Ladyzhenskaya流体力学方程组的确定模与确定结点个数估计

Abstract

Abstract: This article estimates the finite number of determining modes and determining nodes for the fluid flow of Ladyzhenskaya model on two-dimensional bounded smooth domains. The finite number of determining modes implies that the solutions of the addressed fluids are determined completely by their first finite number of Fourier modes. The determining nodes reveals that whenever two different solutions of the fluid have the same asymptotic behavior at finite number of points in the physical space, then they also possess the same asymptotic behavior at almost everywhere points of the physical space.

Key words: Ladyzhenskaya model, Determining modes, Determining nodes, Asymptotic behavior

CLC Number:

O212.62

Zhang Mingshu, Zhu Zheqi, Zhao Caidi. Determining Modes and Determining Nodes to the Fluid Flow of Ladyzhenskaya Model[J].Acta mathematica scientia,Series A, 2018, 38(1): 71-82.

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Determining Modes and Determining Nodes to the Fluid Flow of Ladyzhenskaya Model

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