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Spatial decay in transient heat conduction for general elongated regions

Author
Knops, R.; Quintanilla, R.
Type of activity
Journal article
Journal
Quarterly of applied mathematics
Date of publication
2018-12
Volume
76
Number
4
First page
611
Last page
625
DOI
https://doi.org/10.1090/qam/1497 Open in new window
Project funding
Análisis matemático de las ecuaciones en derivadas parciales de la termomecánica
Mathematical analysis of problems from thermomechanics
Repository
http://hdl.handle.net/2117/121985 Open in new window
URL
http://www.ams.org/journals/qam/2018-76-04/S0033-569X-2017-01497-0/ Open in new window
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 thes...
Citation
Knops, 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.
Group of research
GRAA - Research Group in Applied Analysis

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