Abstract
The basic ideas and results of investigations of the effect on a compressible medium of a special class of gas-dynamic and thermal regimes (regimes with peaking) are expounded. A mathematical description is given of new phenomena caused by such effects (the effect of localization, formation of structures, shockless compression of continuous media). The mathematical model studied was used in a number of applications, in particular, to problems of the physics of plasmas.
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennye Problemy Matematiki, Noveishie Dostizheniya, Vol. 28, pp. 3–94, 1986.
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Zmitrenko, N.V., Kurdyumov, S.P. & Mikhailov, A.P. Theory of regimes with peaking in compressible media. J Math Sci 41, 1163–1222 (1988). https://doi.org/10.1007/BF01098784
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DOI: https://doi.org/10.1007/BF01098784