Please use this identifier to cite or link to this item:
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)
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
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
Show full item record

CORE Recommender

Page view(s) 50

Last Week
Last month
checked on Oct 27, 2020


checked on Oct 27, 2020

Google ScholarTM




This item is licensed under a Creative Commons License Creative Commons