On a problem for a piston. (Russian) Zbl 1092.82033

Kozlov, V. V.

Dokl. Akad. Nauk, Ross. Akad. Nauk 403, No. 6, 752-755 (2005).

Evolution of motion of dynamical systems is investigated. The dynamical system presents either an ideal gas inside a cylindrical vessel and a moving piston inside or a piston on the spring, which compresses an ideal gas. An ideal gas is described by the classical Liouville equation. The asymptotic behavior is examined and phase diagrams are presented.

Reviewer: Andrei Zemskov (Moskva)

MSC:

82C40

Kinetic theory of gases in time-dependent statistical mechanics

Keywords:

dynamical systems; ideal gas; Liouville equation; asymptotic behavior; phase diagrams