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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2015, Volume 56, Issue 6, Pages 31–37
DOI: https://doi.org/10.15372/PMTF20150604 (Mi pmtf1282) 		 
Analogy between an engineering heat-conduction problem and one climatic event

V. A. Babeshkoa, O. V. Evdokimovaa, O. M. Babeshkob

a Southern Scientific Center, Russian Academy of Sciences, Rostov-on-Don, 344006, Russia
b Kuban State University, Krasnodar, 350040, Russia
Full-text PDF (202 kB)
DOI: https://doi.org/10.15372/PMTF20150604
Abstract: A mixed boundary-value problem for a parabolic equation of heat distribution in a layer is considered. Ggradient is specified in one region of the boundary, and temperature in the other. It is assumed that away from the initial conditions, the process is established in time and the temperature decreases slowly and exponentially and then increases. We study temperature localization in one of the regions, and the conditions and consequences of localization in the other region at various stages of temperature change. An analogy is drawn between the temperature distribution pattern in the layer and some climatic events.
Keywords: boundary-value problems, parabolic equations, mixed boundary conditions, Wiener–Hopf method, integral equations, localization.
Received: 08.06.2015
English version:
Journal of Applied Mechanics and Technical Physics, 2015, Volume 56, Issue 6, Pages 959–965
DOI: https://doi.org/10.1134/S0021894415060048
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: V. A. Babeshko, O. V. Evdokimova, O. M. Babeshko, “Analogy between an engineering heat-conduction problem and one climatic event”, Prikl. Mekh. Tekh. Fiz., 56:6 (2015), 31–37; J. Appl. Mech. Tech. Phys., 56:6 (2015), 959–965
Citation in format AMSBIB
\Bibitem{BabEvdBab15}
\by V.~A.~Babeshko, O.~V.~Evdokimova, O.~M.~Babeshko
\paper Analogy between an engineering heat-conduction problem and one climatic event
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2015
\vol 56
\issue 6
\pages 31--37
\mathnet{http://mi.mathnet.ru/pmtf1282}
\crossref{https://doi.org/10.15372/PMTF20150604}
\elib{https://elibrary.ru/item.asp?id=25373156}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2015
\vol 56
\issue 6
\pages 959--965
\crossref{https://doi.org/10.1134/S0021894415060048}
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