Email this article Singular Space-Time Transformations. Towards One Method For Solving the Painlevé Problem
- Authors: Miller B.M.1, Rubinovich E.Y.2, Bentsman J.3
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Affiliations:
- Institute for Information Transmission Problems of the Russian Academy of Sciences
- V. A. Trapeznikov Institute of Control Sciences of the Russian Academy of Sciences
- University of Illinois at Urbana-Champaign
- Issue: Vol 219, No 2 (2016)
- Pages: 208-219
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/238520
- DOI: https://doi.org/10.1007/s10958-016-3098-1
- ID: 238520
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Abstract
We develop the method of singular space-time transformations for systems with impact and friction. We consider a mathematical model of a Painlevé problem concerning impacts of an absolutely rigid bar with a rough surface. Using the method of singular space-time change of variables, we obtain the model of an absolutely rigid body by passing to the limit as the generalized rigidity parameter tends to infinity.
About the authors
B. M. Miller
Institute for Information Transmission Problems of the Russian Academy of Sciences
Author for correspondence.
Email: bmiller@iitp.ru
Russian Federation, 19, Bol’shoi Karetnyi per., Moscow, 127051
E. Ya. Rubinovich
V. A. Trapeznikov Institute of Control Sciences of the Russian Academy of Sciences
Email: bmiller@iitp.ru
Russian Federation, 65, Profsoyuznaya St., Moscow, 117997
J. Bentsman
University of Illinois at Urbana-Champaign
Email: bmiller@iitp.ru
United States, 1206 W. Green St., Urbana, IL, 61801
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