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.

The Attractor of 2D Autonomous g-Navier-Stokes Flows with Linear Dampness

2014 ◽  
Vol 644-650 ◽  
pp. 1502-1505
Author(s):  
Jin Ping Jiang ◽  
Xiao Xia Wang
Keyword(s):  
Sobolev Space ◽  
Energy Equation ◽  
Weighted Sobolev Space ◽  
Unbounded Domains ◽  
Global Attractors ◽  
Equation Method ◽  
Navier Stokes ◽  
Stokes Flows ◽  
Forcing Term

By using the energy equation method, the existence of global attractors for the 2D g-Navier-Stokes flows with linear dampness on some unbounded domains were investigated without the restrictionof the forcing term belonging to some weighted Sobolev space.

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
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