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Appl. Math. (Warsaw), 2013, Volume 40, Issue 3, Pages 383–392 (Mi apm1)  

On weak solutions to the Lagrange-D'Alembert equation

D. Treschev, O. Zubelevich

Department of Theoretical Mechanics, Mechanics and Mathematics Faculty, M. V. Lomonosov Moscow State University, Vorob'evy gory, 119899, Moscow, Russia

Abstract: We consider nonholonomic systems with collisions and propose a concept of weak solutions to Lagrange–d'Alembert equations. Using this concept we describe the dynamics of collisions. Collisions of a rotating ball and a rough floor are considered.

DOI: https://doi.org/10.4064/am40-3-8


Bibliographic databases:

Document Type: Article
MSC: 70F25, 70F35
Language: English

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