RUS  ENG
Full version
JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

Trudy Mat. Inst. Steklova, 2023 Volume 322, Pages 83–93 (Mi tm4339)

This article is cited in 2 papers

On the Problem of Energy Concentration

A. N. Golubyatnikov, D. V. Ukrainskii

Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, 119991 Russia

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.

UDC: 530.12+531.51+533.21+533.16+536.23

Received: December 1, 2022
Revised: December 23, 2022
Accepted: April 11, 2023

DOI: 10.4213/tm4339


 English version:
Proceedings of the Steklov Institute of Mathematics, 2023, 322, 77–87

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025