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To the piston problem. (English. Russian original) Zbl 1219.76043
Dokl. Math. 72, No. 1, 634-637 (2005); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 403, No. 6, 752-755 (2005).
From the introduction: In this paper, we consider the evolution of a dynamical system consisting of an ideal gas in a cylindrical vessel partitioned by a massive movable piston. Special attention is given to the asymptotic behavior as $$t\to\infty$$, when the system asymptotically approaches a state of statistical equilibrium. We also consider the related problem about a piston attached to one end of an elastic spring in an ideal gas.

##### MSC:
 76N15 Gas dynamics (general theory)