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November  2006, 15(4): 1155-1168. doi: 10.3934/dcds.2006.15.1155

On two-phase Stefan problem arising from a microwave heating process

V. S. Manoranjan 1, , Hong-Ming Yin 1, and  R. Showalter 2,

1. 

Department of Mathematics, Washington State University, Pullman, WA 99164, United States, United States
2. 

Department of Mathematics, Oregon State University, Corvallis, OR 97331, United States

Received  September 2004 Revised  February 2005 Published  May 2006

In this paper we study a free boundary problem modeling a phase-change process by using microwave heating. The mathematical model consists of Maxwell's equations coupled with nonlinear heat conduction with a phase-change. The enthalpy form is used to characterize the phase-change process in the model. It is shown that the problem has a global solution.
Keywords: global existence., phase-change, Microwave heating.
Mathematics Subject Classification: Primary: 35R3.
Citation: V. S. Manoranjan, Hong-Ming Yin, R. Showalter. On two-phase Stefan problem arising from a microwave heating process. Discrete and Continuous Dynamical Systems, 2006, 15 (4) : 1155-1168. doi: 10.3934/dcds.2006.15.1155
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