We study a model describing vibrations of a cylindrical domain with thickness e > 0. A characteristic of this model is that it contains pollution terms in the boundary data and missing terms in the initial data. The method of sentinels'' of J. L. Lions [7] is followed to construct a sentinel using the observed vibrations on the boundary. Such a sentinel, by construction, provides information on pollution terms independent of missing terms. This requires resolution of initial-boundary value problems with non-zero boundary data of mixed type and an exact controllability problem. Further, we characterize the so called stealthy pollution terms present in the model.
@article{urn:eudml:doc:44476,
title = {Boundary sentinels in cylindrical domains.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {14},
year = {2001},
pages = {271-309},
zbl = {1058.93010},
mrnumber = {MR1851731},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44476}
}
Saint Jean Paulin, J.; Vanninathan, M. Boundary sentinels in cylindrical domains.. Revista Matemática de la Universidad Complutense de Madrid, Tome 14 (2001) pp. 271-309. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44476/