scholarly journals Global well–posedness for the Lagrangian averaged Navier–Stokes (LANS–α) equations on bounded domains

2001 ◽  
Vol 359 (1784) ◽  
pp. 1449-1468 ◽  
Author(s):  
J. E. Marsden ◽  
S. Shkoller
Keyword(s):  
Navier Stokes ◽  
Well Posedness ◽  
Bounded Domains

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 Local well-posedness of a dispersive Navier-Stokes system

2011 ◽  
Vol 60 (2) ◽  
pp. 517-576 ◽  
Author(s):  
C. David Levermore ◽  
Weiran Sun
Keyword(s):  
Stokes System ◽  
Navier Stokes ◽  
Well Posedness
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