scholarly journals A new local regularity criterion for suitable weak solutions of the Navier–Stokes equations in terms of the velocity gradient

2017 ◽  
Vol 370 (1-2) ◽  
pp. 629-647 ◽  
Author(s):  
Hi Jun Choe ◽  
Joerg Wolf ◽  
Minsuk Yang
Keyword(s):  
Weak Solutions ◽  
Velocity Gradient ◽  
Stokes Equations ◽  
Regularity Criterion ◽  
Local Regularity ◽  
Navier Stokes ◽  
Suitable Weak Solutions ◽  
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.

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