scholarly journals Suitable weak solutions of the Navier–Stokes equations constructed by a space–time numerical discretization

2019 ◽  
Vol 125 ◽  
pp. 189-208 ◽  
Author(s):  
Luigi C. Berselli ◽  
Simone Fagioli ◽  
Stefano Spirito
Keyword(s):  
Weak Solutions ◽  
Stokes Equations ◽  
Space Time ◽  
Navier Stokes ◽  
Suitable Weak Solutions ◽  
Navier Stokes Equations ◽  
Numerical Discretization

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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