Periodic solutions for non-isothermal phase transition models

Kota Kumazaki

doi:10.3934/proc.2011.2011.891

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2011, Volume 2011: 891-902. Doi: 10.3934/proc.2011.2011.891 open access

This issue Previous Article Nonlinear evolution equations associated with mathematical models Next Article Minimality in iterative systems of Möbius transformations

Periodic solutions for non-isothermal phase transition models

Kota Kumazaki^1,

1.
Department of Mathematics, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya, Aichi, 466-8555

Received: June 30, 2010

Revised: March 31, 2011

Published: August 2017

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Abstract

We study non-isothermal phase transition models of Penrose-Fife type and prove the existence of a periodic solution thereof.

Keywords:

nonlinear parabolic PDE,
phase transitions.

Mathematics Subject Classification: Primary: 35K55 ; Secondary: 82B26.

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