EXACT BOUNDARY CONTROLLABILITY OF A NONLINEAR SHALLOW SPHERICAL-SHELL

Authors
BRADLEY ME LASIECKA I
Citation
Me. Bradley et I. Lasiecka, EXACT BOUNDARY CONTROLLABILITY OF A NONLINEAR SHALLOW SPHERICAL-SHELL, Mathematical models and methods in applied sciences, 8(6), 1998, pp. 927-955
Citations number
23
Categorie Soggetti
Mathematics,Mathematics
Journal title
Mathematical models and methods in applied sciences → ACNP
ISSN journal
02182025
Volume
8
Issue
6
Year of publication
1998
Pages
927 - 955
Database
ISI
SICI code
0218-2025(1998)8:6<927:EBCOAN>2.0.ZU;2-1
Abstract
We consider the problem of boundary exact controllability of a coupled nonlinear system which describes vibrations of a thin, shallow, spher ical shell. We show that under the geometric condition of ''shallownes s'', which restricts the curvature with respect to the thickness, the system is exactly controllable in the natural ''finite energy'' space by means of L-2 controls. This controllability is produced via moments and shear forces applied to the edge of the shell.