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

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.

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

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