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arXiv · 0908.0917

Solutions of equations of viscous hydrodynamics via stochastic perturbations of inviscid flows

Yuri E. Gliklikh
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Abstract

We introduce a special stochastic perturbation of the flow of diffuse matter as a curve in the group of diffeomorphisms of flat n-dimensional torus such that the perturbed system yields a solution of Burgers equation in the tangent space at unit of the diffeomorphism group. The same perturbation of the flow of perfect incompressible fluid yields a solution of Reynolds type equation but under some special external force on the diffeomorphism group it transforms into a solution of Navier-Stokes equation without external force.

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Yuri E. Gliklikh. 2009-08-06. Solutions of equations of viscous hydrodynamics via stochastic perturbations of inviscid flows. https://arxiv.org/abs/0908.0917

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