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
Nonlinear feedback controllers for the Navier–Stokes equations
✍ Scribed by Adriana-Ioana Lefter
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 871 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper we prove the feedback stabilization of the Navier–Stokes equations preserving the invariance of a given convex set. To this aim we first deduce an existence theorem concerning weak solutions for the Navier–Stokes system perturbed with a subdifferential.
📜 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
The present paper seeks to continue the analysis in Barbu et al. [Tangential boundary stabilization of Navier-Stokes equations, Memoir AMS, to appear] on tangential boundary stabilization of Navier-Stokes equations, d = 2, 3, as deduced from well-posedness and stability properties of the correspondi