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Contemporary Mathematics. Fundamental Directions, 2012, Volume 46, Pages 129–140 (Mi cmfd233)  
Stability analysis for Maxwell's equation with a thermal effect in one space dimension

V. Reitmann, N. Yumaguzin

Department of Mathematics and Mechanics, Saint Petersburg State University, Saint Petersburg, Russia
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Abstract: 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.
English version:
Journal of Mathematical Sciences, 2014, Volume 201, Issue 6, Pages 805–817
DOI: https://doi.org/10.1007/s10958-014-2026-5
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: V. Reitmann, N. Yumaguzin, “Stability analysis for Maxwell's equation with a thermal effect in one space dimension”, Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2011). Part 2, CMFD, 46, PFUR, M., 2012, 129–140; Journal of Mathematical Sciences, 201:6 (2014), 805–817
Citation in format AMSBIB
\Bibitem{ReiYum12}
\by V.~Reitmann, N.~Yumaguzin
\paper Stability analysis for Maxwell's equation with a~thermal effect in one space dimension
\inbook Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations (Moscow, August 14--21, 2011). Part~2
\serial CMFD
\yr 2012
\vol 46
\pages 129--140
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd233}
\transl
\jour Journal of Mathematical Sciences
\yr 2014
\vol 201
\issue 6
\pages 805--817
\crossref{https://doi.org/10.1007/s10958-014-2026-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84919881591}
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