Can I read Approximating three-dimensional Navier-Stokes equations driven by space-time white noise on EtoBox?

Approximating three-dimensional Navier-Stokes equations driven by space-time white noise by Zhu, Rongchan; Zhu, Xiangchan is a scholarly article available to read on EtoBox.

What is Approximating three-dimensional Navier-Stokes equations driven by space-time white noise about?

In this paper we study approximations to 3D Navier-Stokes (NS) equation driven by space-time white noise by paracontrolled distribution proposed in [GIP13]. A solution theory for this equation has been developed recently in [ZZ14] 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.

Author

Zhu, Rongchan; Zhu, Xiangchan

Published

2014

Language

EN