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Título:
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Approximate controllability of the Stokes system on cylinders by external unidirectional forces
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Autores:
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Díaz Díaz, Jesús Ildefonso ;
Fursikov, A.V.
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier, 1997-04
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Geometría diferencial
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Tipo = Artículo
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Resumen:
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Wt,give some negative and positive results on the approximate controllability of the Stokes system formulated on a cylinder Omega = G x R of R-3 when the control is a density of external unidirectional forces. We distinguish the case where the direction of the controls e is parallel to the cylinder generatrix (e = e(3)) from the one where e is orthogonal to this generatrix (e = e(1)). A negative result in the case of e = e(3) is proved for periodic boundary conditions on x(3), and homogeneous Dirichlet conditions on partial derivative G x R where G is a general set of R-2. In contrast to that, the approximate controllability is proved for homogeneous Dirichlet conditions on partial derivative Omega (i.e. zero on partial derivative G x R and solutions in (L-2(G x R))(3) for any t), when G is a rectangle and e = e(1) is orthogonal to the cylinder generatrix.
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En línea:
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https://eprints.ucm.es/id/eprint/15822/1/94.pdf
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