Pullback attractors and invariant measures for the non-autonomous globally modified Navier–Stokes equations

2017 ◽  
Vol 15 (6) ◽  
pp. 1565-1580 ◽  
Author(s):  
Caidi Zhao ◽  
Ling Yang
Keyword(s):  
Invariant Measures ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Pullback Attractors ◽  
Navier Stokes Equations

Remarks on nontrivial pullback attractors of the 2‐D Navier‐Stokes equations with delays

2019 ◽  
Vol 43 (4) ◽  
pp. 1892-1900 ◽  
Author(s):  
Yongzhong Wang ◽  
Xin‐Guang Yang ◽  
Yongjin Lu
Keyword(s):  
Stokes Equations ◽  
Navier Stokes ◽  
Pullback Attractors ◽  
Navier Stokes Equations

Pullback Attractors for 2D Navier-Stokes Equations with Delays and Their Regularity

2013 ◽  
Vol 13 (2) ◽  
Author(s):  
Julia García-Luengo ◽  
Pedro Marín-Rubio ◽  
José Real
Keyword(s):  
Dynamical Systems ◽  
Existence And Uniqueness ◽  
Stokes Equations ◽  
Existence Of Solution ◽  
Navier Stokes ◽  
Pullback Attractors ◽  
Navier Stokes Equations ◽  
Delay Function ◽  
Measurability Condition ◽  
Delayed Time

AbstractIn this paper we obtain some results on the existence of solution, and of pullback attractors, for a 2D Navier-Stokes model with finite delay studied in [4] and [6]. Actually, we prove a result of existence and uniqueness of solution under less restrictive assumptions than in [4]. More precisely, we remove a condition on square integrable control of the memory terms, which allows us to consider a bigger class of delay terms (for instance, just under a measurability condition on the delay function leading the delayed time). After that, we deal with dynamical systems in suitable phase spaces within two metrics, the L

scholarly journals Dynamics for the 3D incompressible Navier-Stokes equations with double time delays and damping

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Wei Shi ◽  
Xiaona Cui ◽  
Xuezhi Li ◽  
Xin-Guang Yang
Keyword(s):  
Time Delays ◽  
Stokes Equations ◽  
Three Dimensional ◽  
Strong Solutions ◽  
Navier Stokes ◽  
Pullback Attractors ◽  
Navier Stokes Equations ◽  
Subcritical Nonlinearity ◽  
Double Time ◽  
Autonomous Dynamical Systems

<p style='text-indent:20px;'>This paper is concerned with the tempered pullback attractors for 3D incompressible Navier-Stokes model with a double time-delays and a damping term. The delays are in the convective term and external force, which originate from the control in engineer and application. Based on the existence of weak and strong solutions for three dimensional hydrodynamical model with subcritical nonlinearity, we proved the existence of minimal family for pullback attractors with respect to tempered universes for the non-autonomous dynamical systems.</p>

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