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

被引：34

作者：

Zhu, Rongchan ^{[1
]}

Zhu, Xiangchan ^{[2
]}

机构：

[1] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China

[2] Beijing Jiaotong Univ, Sch Sci, Beijing 100044, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年 / 259卷 / 09期

关键词：

Stochastic Navier-Stokes equation; Regularity structure; Paracontrolled distribution; Space-time white noise; Renormalisation; MARKOV SELECTIONS; ERGODICITY; MARTINGALE;

D O I：

10.1016/j.jde.2015.06.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove existence and uniqueness of local solutions to the three-dimensional (3D) Navier-Stokes (N-S) equation driven by space-time white noise using two methods: first, the theory of regularity structures introduced by Martin Hairer in [16] and second, the paracontrolled distribution proposed by Gubinelli, Imkeller, Perkowsld in [12]. We also compare the two approaches. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：4443 / 4508

页数：66

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