A+ CATEGORY SCIENTIFIC UNIT

On weak solutions to the Lagrange–d'Alembert equation

Volume 40 / 2013

Dmitry Treschev, Oleg Zubelevich Applicationes Mathematicae 40 (2013), 383-392 MSC: 70F25, 70F35. DOI: 10.4064/am40-3-8

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.

Authors

  • Dmitry TreschevDepartment of Theoretical Mechanics
    Mechanics and Mathematics Faculty
    M. V. Lomonosov Moscow State University
    Vorob'evy gory
    119899, Moscow, Russia
  • Oleg ZubelevichDepartment of Theoretical mechanics
    Mechanics and Mathematics Faculty
    M. V. Lomonosov Moscow State University
    Vorob'evy gory
    119899, Moscow, Russia
    e-mail

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