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Solution properties of a 3D stochastic Euler fluid equation

Published 23 Apr 2017 in math-ph, math.AP, math.MP, and physics.flu-dyn | (1704.06989v2)

Abstract: 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 2nd Law in every Lagrangian domain.

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