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2009, 2009(Special): 476-485. doi: 10.3934/proc.2009.2009.476

Generalized solutions of a non-isothermal phase separation model

Kota Kumazaki 1, , Akio Ito 2, and  Masahiro Kubo 3,

1. 

Department of Mathematics, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya, Aichi, 466-8555, Japan
2. 

Department of Electronic Engineering and Computer, Science School of Engineering, Kinki University, Takayaumenobe, Higashihiroshimashi, Hiroshima, 739-2116, Japan
3. 

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

Received  July 2008 Revised  April 2009 Published  September 2009

We study a non-isothermal phase separation model of the Penrose-Fife type. We introduce the notion of a generalized solution and prove its unique existence.
Keywords: nonlinear parabolic PDE, phase transitions.
Mathematics Subject Classification: Primary: 35K55 ; Secondary: 82B26.
Citation: Kota Kumazaki, Akio Ito, Masahiro Kubo. Generalized solutions of a non-isothermal phase separation model. Conference Publications, 2009, 2009 (Special) : 476-485. doi: 10.3934/proc.2009.2009.476
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