Singular Space-Time Transformations. Towards One Method For Solving the Painlevé Problem
- 作者: Miller B.M.1, Rubinovich E.Y.2, Bentsman J.3
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隶属关系:
- 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
- 期: 卷 219, 编号 2 (2016)
- 页面: 208-219
- 栏目: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/238520
- DOI: https://doi.org/10.1007/s10958-016-3098-1
- ID: 238520
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详细
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.
作者简介
B. Miller
Institute for Information Transmission Problems of the Russian Academy of Sciences
编辑信件的主要联系方式.
Email: bmiller@iitp.ru
俄罗斯联邦, 19, Bol’shoi Karetnyi per., Moscow, 127051
E. Rubinovich
V. A. Trapeznikov Institute of Control Sciences of the Russian Academy of Sciences
Email: bmiller@iitp.ru
俄罗斯联邦, 65, Profsoyuznaya St., Moscow, 117997
J. Bentsman
University of Illinois at Urbana-Champaign
Email: bmiller@iitp.ru
美国, 1206 W. Green St., Urbana, IL, 61801
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