scholarly journals -boundedness of the pullback attractors for non-autonomous 2D Navier–Stokes equations in bounded domains

2011 ◽  
Vol 74 (14) ◽  
pp. 4882-4887 ◽  
Author(s):  
Julia García-Luengo ◽  
Pedro Marín-Rubio ◽  
José Real
Keyword(s):  
Stokes Equations ◽  
Navier Stokes ◽  
Bounded Domains ◽  
Pullback Attractors ◽  
Navier Stokes Equations

The Pullback Asymptotic Behavior of the Solutions for 2D NonautonomousG-Navier-Stokes Equations

2012 ◽  
Vol 4 (2) ◽  
pp. 223-237 ◽  
Author(s):  
Jinping Jiang ◽  
Yanren Hou ◽  
Xiaoxia Wang
Keyword(s):  
Asymptotic Behavior ◽  
Measure Of Noncompactness ◽  
Dirichlet Boundary ◽  
Stokes Equations ◽  
Fractal Dimensions ◽  
Dirichlet Boundary Conditions ◽  
Navier Stokes ◽  
Bounded Domains ◽  
Pullback Attractors ◽  
Navier Stokes Equations

AbstractThe pullback asymptotic behavior of the solutions for 2D Nonau-tonomousG-Navier-Stokes equations is studied, and the existence of itsL2-pullback attractors on some bounded domains with Dirichlet boundary conditions is investigated by using the measure of noncompactness. Then the estimation of the fractal dimensions for the 2DG-Navier-Stokes equations is given.

scholarly journals On the construction of suitable weak solutions to the 3D Navier–Stokes equations in a bounded domain by an artificial compressibility method

2017 ◽  
Vol 20 (01) ◽  
pp. 1650064 ◽  
Author(s):  
Luigi C. Berselli ◽  
Stefano Spirito
Keyword(s):  
Bounded Domain ◽  
Weak Solutions ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Bounded Domains ◽  
Suitable Weak Solutions ◽  
Navier Stokes Equations ◽  
Artificial Compressibility ◽  
Artificial Compressibility Method

We prove that suitable weak solutions of 3D Navier–Stokes equations in bounded domains can be constructed by a particular type of artificial compressibility approximation.

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