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

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

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)208-219
Number of pages12
JournalJournal of Mathematical Sciences (United States)
Volume219
Issue number2
DOIs
StatePublished - Nov 1 2016

ASJC Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

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