The Role of Pressure in the Theory of Weak Solutions to the Navier-Stokes Equations

2020 ◽  
pp. 349-416
Author(s):  
Jiří Neustupa
Keyword(s):  
Weak Solutions ◽  
Stokes Equations ◽  
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 Weak Solutions for Navier–Stokes Equations with Initial Data in Weighted $$L^2$$L2 Spaces

2020 ◽  
Vol 237 (1) ◽  
pp. 347-382 ◽  
Author(s):  
Pedro Gabriel Fernández-Dalgo ◽  
Pierre Gilles Lemarié-Rieusset
Keyword(s):  
Initial Data ◽  
Weak Solutions ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations
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