V. A. Yumaguzhin, V. N. Yumaguzhina, “New torsion free explicit solutions of 2-dimensional gas dynamics equations”, Program Systems: Theory and Applications, 2011, Volume 2, Issue 2,Pages <nobr>89

Optimization Methods and Control Theory

New torsion free explicit solutions of 2-dimensional gas dynamics equations

V. A. Yumaguzhin, V. N. Yumaguzhina

The Aylamazyan Program Systems Institute of RAS, Pereslavl'-Zalesskii, Yaroslavskaya obl.

Abstract: In this work, it is represented new torsion free solutions for the system of equations of adiabatic polytropic gas motion.

Key words and phrases: system of equations of adiabatic gas motion, polytropic gas, geometric structure, differential invariant, explicit solution.

UDC: 517.956.3, 514.763.85

Received: 19.03.2011
Accepted: 21.04.2011