Solution properties of a 3D stochastic Euler fluid equation
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🧮 math-ph
math.APmath.MPphysics.flu-dyn
keywords
fluidstochasticequationeulerincompressiblelagrangianmodelbeale-kato-majda
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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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