Geodesic
Modeling the heating of dielectric media by electromagnetic radiation in nonlinear mode
Sibirskij žurnal industrialʹnoj matematiki, Tome 20 (2017) no. 1, pp. 86-92

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We consider the process of heating a propagating medium by high-frequency electromagnetic radiation in the presence of heat exchange with the ambient medium under the approximation of a thermally thin layer. It is shown that, due to competition between the processes of heat dissipation in the medium being heated and heat exchange with the ambient medium, the temperature profiles are realized in autowave form. Essential principles of the dynamics of temperature waves are established by inspecting the analytical and numerical solutions.
Keywords: dielectric heating, autowave mode, numerical simulation, heat exchange. 
@article{SJIM_2017_20_1_a8,
     author = {I. L. Khabibullin and F. F. Nazmutdinov and N. K. Vakhitova},
     title = {Modeling the heating of dielectric media by electromagnetic radiation in nonlinear mode},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {86--92},
     publisher = {mathdoc},
     volume = {20},
     number = {1},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2017_20_1_a8/}
}
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I. L. Khabibullin; F. F. Nazmutdinov; N. K. Vakhitova. Modeling the heating of dielectric media by electromagnetic radiation in nonlinear mode. Sibirskij žurnal industrialʹnoj matematiki, Tome 20 (2017) no. 1, pp. 86-92. http://geodesic.mathdoc.fr/item/SJIM_2017_20_1_a8/