Boundary sentinels in cylindrical domains.

Saint Jean Paulin, J., and Vanninathan, M.. "Boundary sentinels in cylindrical domains.." Revista Matemática Complutense 14.1 (2001): 271-309. <http://eudml.org/doc/44476>.

@article{SaintJeanPaulin2001,
abstract = {We study a model describing vibrations of a cylindrical domain with thickness e &gt; 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.},
author = {Saint Jean Paulin, J., Vanninathan, M.},
journal = {Revista Matemática Complutense},
keywords = {Sistemas de control; Ecuaciones diferenciales en derivadas parciales; Condiciones de contorno; Problema de Dirichlet; Ondas; Cilindros; Vibraciones; incomplete problems; pollution terms; sentinel; perturbations at the boundary; cylindrical domain; wave operator; HUM approach; exact controllability; stealthiness},
language = {eng},
number = {1},
pages = {271-309},
title = {Boundary sentinels in cylindrical domains.},
url = {http://eudml.org/doc/44476},
volume = {14},
year = {2001},
}

TY - JOUR
AU - Saint Jean Paulin, J.
AU - Vanninathan, M.
TI - Boundary sentinels in cylindrical domains.
JO - Revista Matemática Complutense
PY - 2001
VL - 14
IS - 1
SP - 271
EP - 309
AB - We study a model describing vibrations of a cylindrical domain with thickness e &gt; 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.
LA - eng
KW - Sistemas de control; Ecuaciones diferenciales en derivadas parciales; Condiciones de contorno; Problema de Dirichlet; Ondas; Cilindros; Vibraciones; incomplete problems; pollution terms; sentinel; perturbations at the boundary; cylindrical domain; wave operator; HUM approach; exact controllability; stealthiness
UR - http://eudml.org/doc/44476
ER -