Asymptotic profile of solutions to the heat equation on thin plate with boundary heating

Eun-Ho Lee and Woocheol Choi

Applied Mathematics and Computation, 2021, vol. 408, issue C

Abstract: Surface heating on thin plate is widely used in engineering processes, which is described by the heat equation on thin plate of thickness h>0 with Robin boundary condition on upper and lower faces of the plate. It is important for engineering to understand the solutions of the problem for small h>0. In this paper we obtain a sharp asymptotic profile of the solutions as the thickness h>0 approaches to zero.

Keywords: Thin plate; Focused surface heating; Robin boundary condition; Asymptotic profile; Heat kernel (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300321004458
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:408:y:2021:i:c:s0096300321004458

DOI: 10.1016/j.amc.2021.126356

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().