Boundary sentinels in cylindrical domains

• Autores: Muthusamy Vanninathan, J. Saint Jean Paulin
• Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 14, Nº 1, 2001, págs. 271-309
• Idioma: inglés
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• Resumen

  • 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 so called "stealthy pollution terms" present in the model.