二阶非光滑微分包含的存在性、数值格式的收敛性及其在非弹性碰撞模拟中的应用
Existence results for non-smooth second order differential inclusions, Convergence result for a numerical scheme and applications for modelling inelastic collisions
摘要：
我们对抽象框架下有限个单边约束的二阶微分包含的存在性结果感兴趣。这些约束由一个集值算子描述，更确切地说，是一个时间依赖集的近端法向锥。此外，我们推广了文[8]中提出的一个数值格式，并证明了一个收敛性结果.我们也提出了在刚性粒子间非弹性碰撞建模中的应用。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
