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Article Contents

# Asymptotic structure for solutions of the Navier--Stokes equations

• We study in this article the large time asymptotic structural stability and structural evolution in the physical space for the solutions of the 2-D Navier-Stokes equations with the periodic boundary conditions. Both the Hamiltonian and block structural stabilities and structural evolutions are considered, and connections to the Lyapunov stability are also given.
Mathematics Subject Classification: 34D, 35Q35, 58F, 76, 86A10.

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