Singular Space-Time Transformations. Towards One Method For Solving the Painlevé Problem

B. M. Miller; E. Ya Rubinovich; J. Bentsman

doi:10.1007/s10958-016-3098-1

Singular Space-Time Transformations. Towards One Method For Solving the Painlevé Problem

B. M. Miller, E. Ya Rubinovich, J. Bentsman

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	208-219
Number of pages	12
Journal	Journal of Mathematical Sciences (United States)
Volume	219
Issue number	2
DOIs	https://doi.org/10.1007/s10958-016-3098-1
State	Published - Nov 1 2016

ASJC Scopus subject areas

Statistics and Probability
Mathematics(all)
Applied Mathematics

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10.1007/s10958-016-3098-1

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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 Painlev{\'e} 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.",

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Singular Space-Time Transformations. Towards One Method For Solving the Painlevé Problem

Abstract

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