𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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


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

Bellman equations associated to the opti
✍ Fausto Gozzi; S. S. Sritharan; Andrezej Świȩch 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 225 KB

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

Abstract settings for tangential boundar
✍ Viorel Barbu; Irena Lasiecka; Roberto Triggiani 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 426 KB

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