## Abstract We prove that the Kolmogorov operator associated with stochastic Navier‐Stokes‐Coriolis equations on the 2D‐Torus is __m__‐dissipative in the space __L^p^__(μ) for any __p__ ∈ [1, ∞[, where μ is an infinitesimally invariant measure. The proof is based on exponential moment estimates on
Kolmogorov Equation Associated to a Stochastic Navier–Stokes Equation
✍ Scribed by F. Flandoli; F. Gozzi
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 355 KB
- Volume
- 160
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this paper we study infinite-dimensional, second-order Hamilton-Jacobi-Bellman equations associated to the feedback synthesis of stochastic Navier-Stokes equations forced by space-time white noise. Uniqueness and existence of viscosity solutions are proven for these infinite-dimensional partial d
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
We give an existence theorem for an abstract nonlinear stochastic evolution equation in a Hilbert space. The result is applicable to the stochastic Navier-Stokes equation in any dimension with a nonlinear noise term. Cl 1994 Academic Press, Inc.
## 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