TY - JOUR
T1 - Approximating 3D Navier-Stokes equations driven by space-time white noise
AU - Zhu, Rongchan
AU - Zhu, Xiangchan
N1 - Publisher Copyright:
© 2017 World Scientific Publishing Company.
PY - 2017/12/1
Y1 - 2017/12/1
N2 - 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.
AB - 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.
KW - Stochastic Navier-Stokes equation
KW - paracontrolled distribution
KW - regularity structure
KW - renormalization
KW - space-time white noise
UR - http://www.scopus.com/inward/record.url?scp=85038906462&partnerID=8YFLogxK
U2 - 10.1142/S0219025717500205
DO - 10.1142/S0219025717500205
M3 - Article
AN - SCOPUS:85038906462
SN - 0219-0257
VL - 20
JO - Infinite Dimensional Analysis, Quantum Probability and Related Topics
JF - Infinite Dimensional Analysis, Quantum Probability and Related Topics
IS - 4
M1 - 1750020
ER -