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arXiv · 1406.0047

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

Rongchan Zhu·Xiangchan Zhu
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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.

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Rongchan Zhu, Xiangchan Zhu. 2014-05-31. Three-dimensional Navier-Stokes equations driven by space-time white noise. https://arxiv.org/abs/1406.0047

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