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

Rongchan Zhu; Xiangchan Zhu

arxiv: 1406.0047 · v3 · pith:YWDF6SM2new · submitted 2014-05-31 · 🧮 math.PR · math.AP

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

Rongchan Zhu , Xiangchan Zhu This is my paper

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keywords drivennavier-stokesnoisespace-timewhiteequationdistributionequations

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

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