Analysis, Control and Inverse Theory of Fluids,Waves, Materials Structures, and theirInteractions
Abstract
The focus of this research is multi-fold: Fluids, waves, structures and their interrelationships. This research made advances on all fronts. Regarding fluid, it solved the problem of feedback stabilization of the Navier-Stokes equations by tangential controls with arbitrarily small support. Moreover, it study fluid-structure interaction models when either the structures moves within the immersed fluid; or else is static but has small andrapid oscillations. In addition, this research produced a theoretical solution to the problem of flutter suppression of a flow of gas over a panel, sayan aircraft wing, at the subsonic regime, by means of inserting suitable friction on the structure only. In the supersonic regime, the problem of controlling flutter can be reduced to a finite dimensional problem after a long time. Finally, this research solved the inverse problem of recovering theelectric coefficient of a Schrodinger equation defined on a Riemannian manifold (so that also the variable coefficient case in included) by meansof just one boundary observation/measurement acting on a suitable part of the boundary and for an arbitrarily short time interval. here recoverymeans: uniqueness of the recovery and stability (wekll-posednes) of the recovery by using a boundary trace of the solution.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 06, 2015
- Accession Number
- AD1000733
Entities
People
- Irena Lasiecka
- Roberto Triggiani
- Zoran Grujic
Organizations
- University of Virginia