Two regularity criteria for 3D Navier-Stokes equations in a bounded domain

2016 ◽  
Vol 12 (2) ◽  
pp. 359-366
Author(s):  
Jishan Fan ◽  
Fucai Li ◽  
Gen Nakamura
Keyword(s):  
Bounded Domain ◽  
Stokes Equations ◽  
Regularity Criteria ◽  
Navier Stokes ◽  
Navier Stokes Equations

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.

scholarly journals The Exponential Attractors for the g-Navier-Stokes Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Delin Wu ◽  
Jicheng Tao
Keyword(s):  
Bounded Domain ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Exponential Attractor ◽  
Two Dimensional ◽  
Exponential Attractors ◽  
Navier Stokes Equations

We consider the exponential attractors for the two-dimensional g-Navier-Stokes equations in bounded domain Ω. We establish the existence of the exponential attractor inL2(Ω).

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