On a stochastic version of Prouse model in fluid dynamics

Details On a stochastic version of Prouse model in fluid dynamics On a stochastic version of Prouse model in fluid dynamics

2006-11-21

arxiv.org/abs/math/0611637v1

Stochastic Processes Appl. 118 no.5 (2008), 762-789

Mathematics

Probability

31 pages

Scientific paper

A stochastic version of a modified Navier-Stokes equation (introduced by Prouse) is considered in a 3-dimensional torus. We prove existence and uniqueness of martingale solutions. A different model with the non linearity given by a power 5 of the velocity is analyzed; for the structure function of this model, some insights towards an expression similar to that obtained by the Kolmogorov 1941 theory of turbulence are presented.

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