The space-time CE/SE method for the Navier-Stokes equations in three spatial dimensions

2000 ◽  
Author(s):  
Zeng-Chan Zhang ◽  
S. Yu ◽  
Xiao-Yen Wang ◽  
Sin-Chung Chang ◽  
Philip Jorgenson
Keyword(s):  
Stokes Equations ◽  
Space Time ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Spatial Dimensions

Approximating 3D Navier–Stokes equations driven by space-time white noise

2017 ◽  
Vol 20 (04) ◽  
pp. 1750020 ◽  
Author(s):  
Rongchan Zhu ◽  
Xiangchan Zhu
Keyword(s):  
White Noise ◽  
Stokes Equations ◽  
Space Time ◽  
Structure Theory ◽  
Navier Stokes ◽  
Solution Theory ◽  
Navier Stokes Equations ◽  
Drift Terms

In this paper we study approximations to 3D Navier–Stokes (NS) equation driven by space-time white noise by paracontrolled distribution proposed in Ref. 13. A solution theory for this equation has been developed recently in Ref. 27 based on regularity structure theory and paracontrolled distribution. In order to make the approximating equation converge to 3D NS equation driven by space-time white noise, we should subtract some drift terms in approximating equations. These drift terms, which come from renormalizations in the solution theory, converge to the solution multiplied by some constant depending on approximations.

Sign in / Sign up

Export Citation Format

Share Document