Spatial decay in transient heat conduction for general elongated regions
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Cita com:
hdl:2117/121985
Tipus de documentArticle
Data publicació2018-12
Condicions d'accésAccés obert
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Abstract
Zanaboni's procedure for establishing Saint-Venant's principle is ex-
tended to anisotropic homogeneous transient heat conduction on regions
that are successively embedded in each other to become indefinitely elon-
gated. No further geometrical restrictions are imposed. The boundary
of each region is maintained at zero temperature apart from the common
surface of intersection which is heated to the same temperature assumed
to be of bounded time variation. Heat sources are absent. Subject to
these conditions, the thermal energy, supposed bounded in each region,
becomes vanishingly small in those parts of the regions suficiently remote
from the heated common surface. As with the original treatment, the
proof involves certain monotone bounded sequences, and does not depend
upon differential inequalities or the maximum principle. A definition is
presented of an elongated region.
CitacióKnops, R., Quintanilla, R. Spatial decay in transient heat conduction for general elongated regions. "Quarterly of applied mathematics", Desembre 2018, vol. 76, núm. 4, p. 611-625.
ISSN0033-569X
Versió de l'editorhttp://www.ams.org/journals/qam/2018-76-04/S0033-569X-2017-01497-0/
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