scholarly journals THE GLOBAL ATTRACTOR OF THE 2D G-NAVIER-STOKES EQUATIONS ON SOME UNBOUNDED DOMAINS

2005 ◽  
Vol 20 (4) ◽  
pp. 731-749 ◽  
Author(s):  
Hyuk-Jin Kwean ◽  
Jai-Ok Roh
Keyword(s):  
Global Attractor ◽  
Stokes Equations ◽  
Unbounded Domains ◽  
Navier Stokes ◽  
Navier Stokes Equations

The Estimation of the Hausdorff and Fractal Dimensions of the Global Attractor for 2D Autonomous g-Navier-Stokes Equations

2014 ◽  
Vol 511-512 ◽  
pp. 1235-1238
Author(s):  
Jin Ping Jiang ◽  
Xiao Xia Wang
Keyword(s):  
Sobolev Space ◽  
Global Attractor ◽  
Stokes Equations ◽  
Weighted Sobolev Space ◽  
Unbounded Domains ◽  
Fractal Dimensions ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Forcing Term ◽  
Hausdorff And Fractal Dimensions

In this paper, by using the energyequation method, the 2D g-Navier-Stokes equations with linear dampness on some unbounded domains wereinvestigated without the restriction of the forcing term belongingto some weighted Sobolev space. Moreover,the estimation of theHausdorff and Fractal dimensions of such attractors were alsoobtained.

scholarly journals Navier–Stokes equations with delays on unbounded domains

2006 ◽  
Vol 64 (5) ◽  
pp. 1100-1118 ◽  
Author(s):  
María José Garrido-Atienza ◽  
Pedro Marín-Rubio
Keyword(s):  
Stokes Equations ◽  
Unbounded Domains ◽  
Navier Stokes ◽  
Navier Stokes Equations

scholarly journals Random attractors for stochastic 2D-Navier–Stokes equations in some unbounded domains

2013 ◽  
Vol 255 (11) ◽  
pp. 3897-3919 ◽  
Author(s):  
Z. Brzeźniak ◽  
T. Caraballo ◽  
J.A. Langa ◽  
Y. Li ◽  
G. Łukaszewicz ◽  
...  
Keyword(s):  
Stokes Equations ◽  
Unbounded Domains ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Random Attractors
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