Stabilizing the long-time behavior of the forced Navier–Stokes and damped Euler systems by large mean flow

2018 ◽  
Vol 369 ◽  
pp. 18-29 ◽  
Author(s):  
Jacek Cyranka ◽  
Piotr B. Mucha ◽  
Edriss S. Titi ◽  
Piotr Zgliczyński
Keyword(s):  
Navier Stokes ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Mean Flow ◽  
Euler Systems ◽  
Long Time

scholarly journals Upper Semicontinuous Property of Uniform Attractors for the 2D Nonautonomous Navier-Stokes Equations with Damping

2013 ◽  
Vol 2013 ◽  
pp. 1-11
Author(s):  
Xin-Guang Yang ◽  
Jun-Tao Li
Keyword(s):  
External Force ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Navier Stokes Equations ◽  
Upper Semicontinuous ◽  
Long Time ◽  
Linear Damping ◽  
Uniform Attractors

Our aim is to investigate the long-time behavior in terms of upper semicontinuous property of uniform attractors for the 2D nonautonomous Navier-Stokes equations with linear damping and nonautonomous perturbation external force, that is, the convergence of corresponding attractors when the perturbation tends to zero.

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