## Solution properties of a 3D stochastic Euler fluid equation.(English)Zbl 1433.60051

Summary: We prove local well-posedness in regular spaces and a Beale-Kato-Majda blow-up criterion for a recently derived stochastic model of the 3D Euler fluid equation for incompressible flow. This model describes incompressible fluid motions whose Lagrangian particle paths follow a stochastic process with cylindrical noise and also satisfy Newton’s second law in every Lagrangian domain.

### MSC:

 60H15 Stochastic partial differential equations (aspects of stochastic analysis) 35Q35 PDEs in connection with fluid mechanics 60H30 Applications of stochastic analysis (to PDEs, etc.)

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### References:

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