# American Institute of Mathematical Sciences

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

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

 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.
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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