|
|||||
|
|
A stochastic lagrangean picture for the three dimensional navier-stokes equation + |
|
| Authors: | R Esposito R Marra M Pulvirenti C Scirretta |
| Affiliation: | 1. Dipartimento di Mathematica , IIUniversitá di Roma Tor Vergata , Roma, Italy;2. Dipartmento di Fisica , II Universitádi Roma Tor Vergata , Roma, Italy;3. Dipartimento di Matcmatica , Universitá dell'Aquila , L'Aquila, Italy;4. Dipartimento di Matematica , Instituto Nazionale di Alta Matematica, Université , Roma, Italy |
| Abstract: | We derive a representation formula for the solutions of the navier-Stokes flow in three dimensions in absence of boundary in terms of stochastic current lines. This pictures generalizes an analogous one given in two dimensions and on the other hand the classical Lafrangian picture for the Euler flow. We prove a Vanishing viscosity limit for the whole structure |
| Keywords: | Navier stokes equation Euler Equation Diffusion Processes Vanishing Viscosity Limit |