I. M. Troyanova, V. A. Tupchiev, “Asymptotics of a self-similar solution to the piston problem in the case of cylindrical symmetry”, Zh. Vychisl. Mat. Mat. Fiz., 2009, Volume 49, Number 9,Pages <nobr>1676

Asymptotics of a self-similar solution to the piston problem in the case of cylindrical symmetry

I. M. Troyanova^a, V. A. Tupchiev

^a Obninsk State Technical University of Nuclear Power Engineering, Studgorodok 1, Obninsk, Kaluga oblast, 249020, Russia

Abstract: For the piston problem in gas dynamics, a high-order asymptotic expansion of the solution with respect to the viscosity and thermal conductivity is constructed and substantiated in the case of cylindrical symmetry.

Key words: gasdynamic equations, piston problem with cylindrical symmetry, asymptotic solution method.

UDC: 519.634

Received: 22.09.2008
Revised: 10.04.2009