A remark on pullback attractors for the 2D Navier-Stokes equations with weak damping, distributed and continuous delay

2015 ◽  
Vol 10 ◽  
pp. 269-274
Author(s):  
Yadi Wang ◽  
Keqin Su ◽  
Mengmeng Si
Keyword(s):  
Stokes Equations ◽  
Navier Stokes ◽  
Pullback Attractors ◽  
Navier Stokes Equations ◽  
Continuous Delay ◽  
Weak Damping

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

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