• Corpus ID: 13942238

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

  title={Solutions of equations of viscous hydrodynamics via stochastic perturbations of inviscid flows},
  author={Yuri E. Gliklikh},
  journal={arXiv: Analysis of PDEs},
  • Y. Gliklikh
  • Published 6 August 2009
  • Mathematics
  • arXiv: Analysis of PDEs
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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