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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 4, Pages 535–547 (Mi zvmmf3279)  
Localized compression regimes in a heat-conducting gas

V. V. Gudkov, A. P. Mikhailov, V. V. Stepanova

Moscow
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Abstract: The effect of limiting regimes with peaking on a compressible sphere with thermal conductivity $\varkappa=\varkappa_0\rho^\alpha T^\beta$, $\beta>0$, is examined. The investigation is carried out for selfsimilar solutions of the power type. Conditions are established for shockless supercompression of the material and joint localization of the thermal and gas-dynamic processes, which depend on the thermophysical properties of the medium and the limiting law. The phenomena are also investigated numerically.
Received: 01.03.1988
Revised: 14.09.1989
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 2, Pages 130–138
DOI: https://doi.org/10.1016/0041-5553(90)90088-A
Bibliographic databases:
Document Type: Article
UDC: 517.958:533.7
MSC: Primary 76N15; Secondary 80A20, 76M25
Language: Russian
Citation: V. V. Gudkov, A. P. Mikhailov, V. V. Stepanova, “Localized compression regimes in a heat-conducting gas”, Zh. Vychisl. Mat. Mat. Fiz., 30:4 (1990), 535–547; U.S.S.R. Comput. Math. Math. Phys., 30:2 (1990), 130–138
Citation in format AMSBIB
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\by V.~V.~Gudkov, A.~P.~Mikhailov, V.~V.~Stepanova
\paper Localized compression regimes in a~heat-conducting gas
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 4
\pages 535--547
\mathnet{http://mi.mathnet.ru/zvmmf3279}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1055816}
\zmath{https://zbmath.org/?q=an:0727.76097}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 2
\pages 130--138
\crossref{https://doi.org/10.1016/0041-5553(90)90088-A}
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