Solutions of equations of viscous hydrodynamics via stochastic perturbations of inviscid flows
2009-11-11 14:30 2009-11-11 15:30 2009-11-11 14:30 .. 15:30
by Yuri E. Gliklikh (Voronezh State University, Russia)
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.