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arXiv · 1803.05319

Euler-Lagrangian approach to 3D stochastic Euler equations

Franco Flandoli·Dejun Luo
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Abstract

3D stochastic Euler equations with a special form of multiplicative noise are considered. A Constantin-Iyer type representation in Euler-Lagrangian form is given, based on stochastic characteristics. Local existence and uniqueness of solutions in suitable Hoelder spaces is proved from the Euler-Lagrangian formulation.

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Franco Flandoli, Dejun Luo. 2018-03-14. Euler-Lagrangian approach to 3D stochastic Euler equations. https://arxiv.org/abs/1803.05319

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