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Matem. Mod., 2007, Volume 19, Number 6, Pages 43–52 (Mi mm978)  

Relativistic centered wave of compression

V. V. Prut

Russian Research Centre "Kurchatov Institute"

Abstract: The problem relativistic isentropic compression by a plain piston of substance with a power equation of state is reduced to self-similar state and it is solved. Thereby the relativistic centered wave of compression is constructed. The numerical and approximate solutions in ultrarelativistic and nonrelativistic limits are received. The features, which carry the relativistic dynamics at transition to limiting compression, are considered. The evolutions of space and time dependences on the piston are described. The estimations of time of transition are resulted in relativistic limit in cylindrical and spherical geometry.

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Received: 21.06.2006

Citation: V. V. Prut, “Relativistic centered wave of compression”, Matem. Mod., 19:6 (2007), 43–52

Citation in format AMSBIB
\Bibitem{Pru07}
\by V.~V.~Prut
\paper Relativistic centered wave of compression
\jour Matem. Mod.
\yr 2007
\vol 19
\issue 6
\pages 43--52
\mathnet{http://mi.mathnet.ru/mm978}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2423988}
\zmath{https://zbmath.org/?q=an:1137.82334}


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