Euler-Lagrangian approach to 3D stochastic Euler equations

Understand

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.