Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/13155
Title: Two-phase heat conductors with a stationary isothermic surface
Authors: Sakaguchi, Shigeru
Keywords: heat equationdiffusion equationtwo-phase heat conductortransmission conditioninitial-boundary value problemCauchy problemstationary isothermic surfacesymmetry
Issue Date: 2016
Publisher: EUT Edizioni Università di Trieste
Series/Report no.: Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics
48 (2016)
Abstract: 
We consider a two-phase heat conductor in RN with N ≥ 2 consisting of a core and a shell with different constant conductivities. Suppose that, initially, the conductor has temperature 0 and, at all times, its boundary is kept at temperature 1. It is shown that, if there is a stationary isothermic surface in the shell near the boundary, then he structure of the conductor must be spherical. Also, when the medium utside the two-phase conductor has a possibly different conductivity, we consider the Cauchy problem with N ≥ 3 and the initial condition where the conductor has temperature 0 and the outside medium has emperature 1. Then we show that almost the same proposition holds true.
Type: Article
URI: http://hdl.handle.net/10077/13155
ISSN: 0049-4704
eISSN: 2464-8728
DOI: 10.13137/2464-8728/13155
Appears in Collections:Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.48 (2016)

Files in This Item:
File Description SizeFormat
7_RIMUT48.pdf2.21 MBAdobe PDFThumbnail
View/Open
Show full item record


CORE Recommender

Page view(s) 50

394
Last Week
1
Last month
checked on Oct 27, 2020

Download(s)

149
checked on Oct 27, 2020

Google ScholarTM

Check

Altmetric

Altmetric


This item is licensed under a Creative Commons License Creative Commons