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 Hölder spaces is proved from the Euler-Lagrangian formulation.

Euler-Lagrangian approach to 3D stochastic Euler equations

Flandoli F.;Luo D.
2019

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 Hölder spaces is proved from the Euler-Lagrangian formulation.
2019
Euler-Lagrangian formulation; Hölder space; Local existence; Stochastic Euler equations; Vorticity
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/82033
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