Информационная система "Конференции"

All-Russian Conference "New mathematical models of continuum mechanics: Construction and investigation" devoted to 90-years anniversary of academician L. V. Ovsyannikov

Novosibirsk, April 23-28, 2009

Abstracts

Space periodic gas motions. Exact and asymptotic solutions

Aksenov Alexander V.

Moscow M.V. Lomonosov State University (Moscow)

The system of equations for one-dimensional unsteady politropic gas motion is considered.

Using Riemann's method the general solution of this system for space periodic initial conditions is obtained.

Exact solutions for politrope power $gamma=3$; $5/3$; $7/5$ are constructed.

For arbitrary politrope power $gamma$ asymptotic solutions are obtained (here small parameter is initial amplitude of perturbation). Formulas for time and space of gradient catastrophe are presented.

Note. Abstracts are published in author's edition

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