TY - JOUR
T1 - Three-dimensional Navier-Stokes equations driven by space-time white noise
AU - Zhu, Rongchan
AU - Zhu, Xiangchan
N1 - Publisher Copyright:
© 2015 Elsevier Inc.
PY - 2015/11/5
Y1 - 2015/11/5
N2 - 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, Perkowski in [12]. We also compare the two approaches.
AB - 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, Perkowski in [12]. We also compare the two approaches.
KW - Paracontrolled distribution
KW - Regularity structure
KW - Renormalisation
KW - Space-time white noise
KW - Stochastic Navier-Stokes equation
UR - http://www.scopus.com/inward/record.url?scp=84938211004&partnerID=8YFLogxK
U2 - 10.1016/j.jde.2015.06.002
DO - 10.1016/j.jde.2015.06.002
M3 - Article
AN - SCOPUS:84938211004
SN - 0022-0396
VL - 259
SP - 4443
EP - 4508
JO - Journal of Differential Equations
JF - Journal of Differential Equations
IS - 9
ER -