Geodesic
On weak solutions to the Lagrange–d'Alembert equation
Dmitry Treschev1 ; Oleg Zubelevich2
1 Department of Theoretical Mechanics Mechanics and Mathematics Faculty M. V. Lomonosov Moscow State University Vorob'evy gory 119899, Moscow, Russia
2 Department of Theoretical mechanics Mechanics and Mathematics Faculty M. V. Lomonosov Moscow State University Vorob'evy gory 119899, Moscow, Russia
Applicationes Mathematicae, Tome 40 (2013) no. 3, pp. 383-392 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 : 10.4064/am40-3-8
Keywords: consider nonholonomic systems collisions propose concept weak solutions lagrange dalembert equations using concept describe dynamics collisions collisions rotating ball rough floor considered

Dmitry Treschev 1 ; Oleg Zubelevich 2

1 Department of Theoretical Mechanics Mechanics and Mathematics Faculty M. V. Lomonosov Moscow State University Vorob'evy gory 119899, Moscow, Russia
2 Department of Theoretical mechanics Mechanics and Mathematics Faculty M. V. Lomonosov Moscow State University Vorob'evy gory 119899, Moscow, Russia 
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Dmitry Treschev; Oleg Zubelevich. On weak solutions to the
 Lagrange–d'Alembert equation. Applicationes Mathematicae, Tome 40 (2013) no. 3, pp. 383-392. doi: 10.4064/am40-3-8

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