Recent developments in applied mathematics and mechanics: theory, experiment and practice. Devoted to the 80th anniversary of academician N.N.Yanenko

Akademgorodok, Novosibirsk, Russia, June 24 - 29, 2001



Abstracts


Russian participants

A mathematical investigation of a shockless compression of hydrogen with the real state equation

Bautin S.P., Yagupov S.A.

Ural State university of railway (Ekaterinburg)

With the help of mathematical methods the opportunity isentropical to compress hydrogen with the real equation of a condition up to enough large meanings of density, at which given environment any more does not satisfy to properties normal is investigated. In space special independent variable as an infinite converging series the current describing shockless compression of flat, cylindrical and spherical layers of gas is constructed. The analysis of factors of a series shows, that at compression of hydrogen up to considered meanings of density up to the moment of strong compression in current necessarily there are infinite gradients. The automodelling decisions describing convergence of waves compression on an axis or in the centre of symmetry also are investigated. With the help of the numerical decision of the appropriate systems of the ordinary differential equations is shown, that shockless the compression originally homogeneous and quiet cylindrical and spherical volumes of hydrogen with the given equation of a condition is possible only up to the appropriate meanings of density.

Full Text in Russian: PDF (353 kb)
Note. Abstracts are published in author's edition



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