Existence results for non-smooth second order differential inclusions, Convergence result for a numerical scheme and applications for modelling inelastic collisions
Classical Analysis and ODEs
2010-03-10 v2
Abstract
We are interested in existence results for second order differential inclusions, involving finite number of unilateral constraints in an abstract framework. These constraints are described by a set-valued operator, more precisely a proximal normal cone to a time-dependent set. Moreover we extend a numerical scheme, introduced in [8] and proved a convergence result. We propose applications in modelling inelastic collisions between rigid particles too.
Keywords
Cite
@article{arxiv.1001.0701,
title = {Existence results for non-smooth second order differential inclusions, Convergence result for a numerical scheme and applications for modelling inelastic collisions},
author = {Frederic Bernicot and Aline Lefebvre-Lepot},
journal= {arXiv preprint arXiv:1001.0701},
year = {2010}
}
Comments
22 pages, 1 figure