Geodesic
Stability analysis for Maxwell's equation with a~thermal effect in one space dimension
Contemporary Mathematics. Fundamental Directions, Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2011). Part 2, Tome 46 (2012), pp. 129-140

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In this paper we study the asymptotic behavior of a system modeling heating of material by microwaves. Various assumptions have been made, concerning complexity (nonhomogeneous structure) and the two-phase state of the material. The mathematical model includes Maxwell's and heat-transfer equations. Stability of solutions of the system is shown. 
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     author = {V. Reitmann and N. Yumaguzin},
     title = {Stability analysis for {Maxwell's} equation with a~thermal effect in one space dimension},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {129--140},
     publisher = {mathdoc},
     volume = {46},
     year = {2012},
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     url = {http://geodesic.mathdoc.fr/item/CMFD_2012_46_a6/}
}
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V. Reitmann; N. Yumaguzin. Stability analysis for Maxwell's equation with a~thermal effect in one space dimension. Contemporary Mathematics. Fundamental Directions, Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2011). Part 2, Tome 46 (2012), pp. 129-140. http://geodesic.mathdoc.fr/item/CMFD_2012_46_a6/