Large time behavior of temperature in two-phase heat conductors

Autor:	Kang, Hyeonbae, Sakaguchi, Shigeru
Rok vydání:	2021
Předmět:	Mathematics - Analysis of PDEs Primary 35K05 Secondary 35K10 35K15 35B40 35C06
Druh dokumentu:	Working Paper
Popis:	We consider the Cauchy problem for the heat diffusion equation in the whole Euclidean space consisting of two media with different constant conductivities. The large time behavior of temperature, the solution of the problem, is studied when initially temperature is assigned to be 0 on one medium and $1$ on the other. We show that under a certain geometric condition of the configuration of the media, temperature is stabilized to a constant as time tends to infinity. We also show by examples that temperature in general oscillates and is not stabilized. Comment: 9 pages, to appear in Journal of Differential Equations
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2102.02535 Zobrazit plný text záznamu View this record from Arxiv