𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Bellman equations associated to the optimal feedback control of stochastic Navier-Stokes equations

✍ Scribed by Fausto Gozzi; S. S. Sritharan; Andrezej Świȩch


Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
225 KB
Volume
58
Category
Article
ISSN
0010-3640

No coin nor oath required. For personal study only.

✦ Synopsis


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 differential equations.


📜 SIMILAR VOLUMES


Flow Invariance Preserving Feedback Cont
✍ V. Barbu; S.S. Sritharan 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 170 KB

In this paper we develop a concrete procedure for designing feedback controllers to ensure that the resultant dynamics of turbulence will preserve certain prescribed physical constraints. Examples of such constraints include, in particular, the level sets of well known invariants of the inviscid flo

Irreducibility of the 3-D Stochastic Nav
✍ Franco Flandoli 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 331 KB

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

Lp-uniqueness of Kolmogorov operators as
✍ Wilhelm Stannat 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 141 KB

## 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

Hamilton–Jacobi–Bellman Equations for th
✍ Fausto Gozzi; Andrzej Świech 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 285 KB

We study a class of Hamilton Jacobi Bellman (HJB) equations associated to stochastic optimal control of the Duncan Mortensen Zakai equation. The equations are investigated in weighted L 2 spaces. We introduce an appropriate notion of weak (viscosity) solution of such equations and prove that the val