2026-04-13T04:14:56Zhttps://recercat.cat/oai/requestoai:recercat.cat:2117/1219852026-01-15T05:25:37Zcom_2072_1033col_2072_452950
RECERCAT
author
Knops, Robin J.
author
Quintanilla de Latorre, Ramón
2018-12
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.Peer ReviewedPostprint (author's final draft)
http://creativecommons.org/licenses/by-nc-nd/3.0/es/ Open Access Attribution-NonCommercial-NoDerivs 3.0 Spain
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
Heat--Conduction
Differential equations, Partial
Calor -- Conducció
Equacions diferencials parcials
Classificació AMS::58 Global analysis, analysis on manifolds::58J Partial differential equations on manifolds; differential operators
Classificació AMS::80 Classical thermodynamics, heat transfer
Spatial decay in transient heat conduction for general elongated regions
Article