Geodesic
On weak solutions to the Lagrange–d'Alembert equation
Dmitry Treschev1 ; Oleg Zubelevich2
1Department of Theoretical Mechanics Mechanics and Mathematics Faculty M. V. Lomonosov Moscow State University Vorob'evy gory 119899, Moscow, Russia
2Department 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

Voir la notice de l'article

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 
@article{10_4064_am40_3_8,
     author = {Dmitry Treschev and Oleg Zubelevich},
     title = {On weak solutions to the
 {Lagrange{\textendash}d'Alembert} equation},
     journal = {Applicationes Mathematicae},
     pages = {383--392},
     year = {2013},
     volume = {40},
     number = {3},
     doi = {10.4064/am40-3-8},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am40-3-8/}
}
TY  - JOUR
AU  - Dmitry Treschev
AU  - Oleg Zubelevich
TI  - On weak solutions to the
 Lagrange–d'Alembert equation
JO  - Applicationes Mathematicae
PY  - 2013
SP  - 383
EP  - 392
VL  - 40
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am40-3-8/
DO  - 10.4064/am40-3-8
LA  - en
ID  - 10_4064_am40_3_8
ER  - 
%0 Journal Article
%A Dmitry Treschev
%A Oleg Zubelevich
%T On weak solutions to the
 Lagrange–d'Alembert equation
%J Applicationes Mathematicae
%D 2013
%P 383-392
%V 40
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/am40-3-8/
%R 10.4064/am40-3-8
%G en
%F 10_4064_am40_3_8
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

Cité par Sources :