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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2023, Volume 322, Pages 83–93
DOI: https://doi.org/10.4213/tm4339 (Mi tm4339) 		 
On the Problem of Energy Concentration

A. N. Golubyatnikov, D. V. Ukrainskii

Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, 119991 Russia
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DOI: https://doi.org/10.4213/tm4339
Abstract: We discuss the well-known problem of energy concentration, which is the inverse of the strong explosion or the expanding piston problem. Using a number of physical examples, we show that under certain conditions and with certain forces involved in the focusing process, one can achieve the concentration of any amount of energy. First of all, this applies to the gravity force and its manifestation in problems of relativity theory with viscosity and heat conduction taken into account.
Keywords: energy concentration, collapse, theory of relativity, viscous heat-conducting gas.
Received: December 1, 2022
Revised: December 23, 2022
Accepted: April 11, 2023
English version:
Proceedings of the Steklov Institute of Mathematics, 2023, Volume 322, Pages 77–87
DOI: https://doi.org/10.1134/S0081543823040077
Bibliographic databases:
Document Type: Article
UDC: 530.12+531.51+533.21+533.16+536.23
Language: Russian
Citation: A. N. Golubyatnikov, D. V. Ukrainskii, “On the Problem of Energy Concentration”, Modern Methods of Mechanics, Collected papers. On the occasion of the 90th birthday of Academician Andrei Gennad'evich Kulikovskii, Trudy Mat. Inst. Steklova, 322, Steklov Math. Inst., Moscow, 2023, 83–93; Proc. Steklov Inst. Math., 322 (2023), 77–87
Citation in format AMSBIB
\Bibitem{GolUkr23}
\by A.~N.~Golubyatnikov, D.~V.~Ukrainskii
\paper On the Problem of Energy Concentration
\inbook Modern Methods of Mechanics
\bookinfo Collected papers. On the occasion of the 90th birthday of Academician Andrei Gennad'evich Kulikovskii
\serial Trudy Mat. Inst. Steklova
\yr 2023
\vol 322
\pages 83--93
\publ Steklov Math. Inst.
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4339}
\crossref{https://doi.org/10.4213/tm4339}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2023
\vol 322
\pages 77--87
\crossref{https://doi.org/10.1134/S0081543823040077}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85180264498}
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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