Generalized solutions of a non-isothermal phase separation model
Kota Kumazaki - Department of Mathematics, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya, Aichi, 466-8555, Japan (email)
Abstract: 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
Received: July 2008; Revised: April 2009; Published: September 2009.