Solution properties of a 3D stochastic Euler fluid equation
Mathematical Physics
2018-11-14 v2 Analysis of PDEs
math.MP
Fluid Dynamics
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.
Cite
@article{arxiv.1704.06989,
title = {Solution properties of a 3D stochastic Euler fluid equation},
author = {Dan Crisan and Franco Flandoli and Darryl D. Holm},
journal= {arXiv preprint arXiv:1704.06989},
year = {2018}
}
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