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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 4, Pages 570–585
(Mi zvmmf3282)
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This article is cited in 3 scientific papers (total in 3 papers)
Variational principles of the linear kinetic theory of a gas
A. M. Bishaev, V. A. Rykov Moscow
Abstract:
Slow flows of a monatomic rarified gas which interacts with the surface of a solid according to a general law are considered. A functional is constructed, the Euler equations of which are linear kinetic equations with natural boundary conditions. The functional is the difference between the doubled power of the internal forces of the medium and the entropy production. The minimax nature of the extremum of the new functional is established.
Received: 16.11.1988 Revised: 25.10.1989
Citation:
A. M. Bishaev, V. A. Rykov, “Variational principles of the linear kinetic theory of a gas”, Zh. Vychisl. Mat. Mat. Fiz., 30:4 (1990), 570–585; U.S.S.R. Comput. Math. Math. Phys., 30:2 (1990), 154–165
Linking options:
https://www.mathnet.ru/eng/zvmmf3282 https://www.mathnet.ru/eng/zvmmf/v30/i4/p570
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