English

Three-dimensional Navier-Stokes equations driven by space-time white noise

Probability 2017-01-05 v3 Analysis of PDEs

Abstract

In this paper we study 3D Navier-Stokes (NS) equation driven by space-time white noise by using regularity structure theory introduced in [Hai14] and paracontrolled distribution proposed in [GIP13]. We obtain local existence and uniqueness of solutions to the 3D Navier-Stokes equation driven by space-time white noise.

Keywords

Cite

@article{arxiv.1406.0047,
  title  = {Three-dimensional Navier-Stokes equations driven by space-time white noise},
  author = {Rongchan Zhu and Xiangchan Zhu},
  journal= {arXiv preprint arXiv:1406.0047},
  year   = {2017}
}

Comments

arXiv admin note: text overlap with arXiv:1303.5113, arXiv:1210.2684 by other authors To appear in the Journal of Differential equations

R2 v1 2026-06-22T04:27:28.104Z