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Decay rates of Saint-Venant type for functionally graded heat-conducting materials

Author
Leseduarte, M. C.; Quintanilla, R.
Type of activity
Journal article
Journal
International journal of engineering science
Date of publication
2019-06
Volume
139
First page
24
Last page
41
DOI
10.1016/j.ijengsci.2019.03.001
Project funding
Mathematical analysis of problems from thermomechanics
Repository
http://hdl.handle.net/2117/130813 Open in new window
URL
https://www.sciencedirect.com/science/article/abs/pii/S0020722517325910 Open in new window
Abstract
This paper investigates decay rates for the spatial behaviour of solutions for functionally graded heat-conducting materials. From a mathematical point of view, we obtain a new inequality of Poincarétype. This new result allows us to give new decay rates for functionally graded materials when the inhomogeneity depends on the radial variable and the axial variable of the cylinder. The case when the cross-section is increasing is also considered. Besides, we propose to obtain estimates for the ca...
Citation
Leseduarte, M. C.; Quintanilla, R. Decay rates of Saint-Venant type for functionally graded heat-conducting materials. "International journal of engineering science", Juny 2019, vol. 139, p. 24-41.
Keywords
Functionally graded materials, Heat conduction, Spatial decay estimates
Group of research
GRAA - Research Group in Applied Analysis