We construct a solution to stochastic Navier-Stokes equations in dimension n ~< 4 with the feedback in both the external forces and a general infinite-dimensional noise. The solution is unique and adapted to the Brownian filtration in the 2-dimensional case with periodic boundary conditions or, when
Stochastic cascades and 3-dimensional Navier–Stokes equations
✍ Scribed by Y. Le Jan; A. S. Sznitman
- Publisher
- Springer
- Year
- 1997
- Tongue
- English
- Weight
- 343 KB
- Volume
- 109
- Category
- Article
- ISSN
- 1432-2064
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## Abstract This article mainly concerns modeling the stochastic input and its propagation in incompressible Navier‐Stokes(N‐S) flow simulations. The stochastic input is represented spectrally by employing orthogonal polynomial functionals from the Askey scheme as trial basis to represent the rando
A 3-dimensional Navier Stokes equation with random force is investigated. A form of irreducibility, of interest in ergodic theory, is proved, under a full noise assumption. The basic tool is the fact that, even if the equation is a priori non-well-posed, the solutions depend continuously on the nois