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

@article{Gliklikh2009SolutionsOE, title={Solutions of equations of viscous hydrodynamics via stochastic perturbations of inviscid flows}, author={Yuri E. Gliklikh}, journal={arXiv: Analysis of PDEs}, year={2009} }

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…

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