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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2002, Volume 9, Number 3, Pages 427–435 (Mi jmag305)  
Boundary equations in the contact dynamic problem for thermoelastic media

I. Chudinovicha, O. Duminab

a Department of Mechanics and Mathematics, V. N. Karazin Kharkov National University, 4 Svobody Sq., Kharkov, 61077, Ukraine
b Ukrainian State Academy of Railway Transport, 7 Feyerbakh Sq., Kharkov, 61050, Ukraine
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Abstract: The contact dynamic initial boundary value problem for thermoelastic media is under consideration. Its solution is represented by the dynamic analogues of thermoelastic single and double-layer potentials. This representation leads to the system of nonstationary boundary equations. The unique solvability of this system is proved in the one-parameter scale of Sobolev type function spaces .
Received: 20.11.2001
Bibliographic databases:
Document Type: Article
MSC: 31N10, 31B35, 74B05
Language: English
Citation: I. Chudinovich, O. Dumina, “Boundary equations in the contact dynamic problem for thermoelastic media”, Mat. Fiz. Anal. Geom., 9:3 (2002), 427–435
Citation in format AMSBIB
\Bibitem{ChuDum02}
\by I.~Chudinovich, O.~Dumina
\paper Boundary equations in the contact dynamic problem for thermoelastic media
\jour Mat. Fiz. Anal. Geom.
\yr 2002
\vol 9
\issue 3
\pages 427--435
\mathnet{http://mi.mathnet.ru/jmag305}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1949798}
\zmath{https://zbmath.org/?q=an:1060.74047}
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