scholarly journals On the box-counting dimension of the potential singular set for suitable weak solutions to the 3D Navier–Stokes equations

Nonlinearity ◽  
2017 ◽  
Vol 30 (5) ◽  
pp. 1762-1772 ◽  
Author(s):  
Yanqing Wang ◽  
Gang Wu
Keyword(s):  
Weak Solutions ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Singular Set ◽  
Suitable Weak Solutions ◽  
Navier Stokes Equations ◽  
Box Counting ◽  
Box Counting Dimension

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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