Euler-Lagrangian approach to stochastic Euler equations in Sobolev Spaces

Juan Londoño; Christian Olivera

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arXiv · 2303.07213

Euler-Lagrangian approach to stochastic Euler equations in Sobolev Spaces

Juan Londoño·Christian Olivera

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Abstract

The purpose of this paper is to establish the equivalence between Lagrangian and classical formulations for the stochastic incompressible Euler equations, the proof is based in Ito-Wentzell-Kunita formula and stochastic analysis techniques. Moreover, we prove a local existence result for the Lagrangian formulation in suitable Sobolev Spaces.

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Juan Londoño, Christian Olivera. 2023-03-13. Euler-Lagrangian approach to stochastic Euler equations in Sobolev Spaces. https://arxiv.org/abs/2303.07213

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